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3053081952 = 2532172921503
BaseRepresentation
bin1011010111111010…
…0101010101100000
321212202220122002100
42311332211111200
522223042110302
61222542050400
7135441524364
oct26576452540
97782818070
103053081952
111327426728
12712579a00
133986ab68b
1420d6a32a4
1512d07bd1c
hexb5fa5560

3053081952 has 144 divisors (see below), whose sum is σ = 9510359040. Its totient is φ = 924758016.

The previous prime is 3053081951. The next prime is 3053081959. The reversal of 3053081952 is 2591803503.

3053081952 is a `hidden beast` number, since 30 + 530 + 8 + 1 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3053081951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131233 + ... + 152735.

It is an arithmetic number, because the mean of its divisors is an integer number (66044160).

Almost surely, 23053081952 is an apocalyptic number.

3053081952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3053081952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755179520).

3053081952 is an abundant number, since it is smaller than the sum of its proper divisors (6457277088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3053081952 is a wasteful number, since it uses less digits than its factorization.

3053081952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21565 (or 21554 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3053081952 is about 55254.7007231059. The cubic root of 3053081952 is about 1450.7062674290.

The spelling of 3053081952 in words is "three billion, fifty-three million, eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 174 204 232 261 272 288 306 348 408 464 493 522 544 612 696 816 928 986 1044 1224 1392 1479 1632 1972 2088 2448 2784 2958 3944 4176 4437 4896 5916 7888 8352 8874 11832 15776 17748 21503 23664 35496 43006 47328 64509 70992 86012 129018 141984 172024 193527 258036 344048 365551 387054 516072 623587 688096 731102 774108 1032144 1096653 1247174 1462204 1548216 1870761 2064288 2193306 2494348 2924408 3096432 3289959 3741522 4386612 4988696 5612283 5848816 6192864 6579918 7483044 8773224 9977392 10600979 11224566 11697632 13159836 14966088 17546448 19954784 21201958 22449132 26319672 29932176 31802937 35092896 42403916 44898264 52639344 59864352 63605874 84807832 89796528 95408811 105278688 127211748 169615664 179593056 190817622 254423496 339231328 381635244 508846992 763270488 1017693984 1526540976 3053081952