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3013757952 = 21032933829
BaseRepresentation
bin1011001110100010…
…0100110000000000
321210000220202200220
42303220210300000
522133010223302
61215015143040
7134453343222
oct26350446000
97700822626
103013757952
111307207a57
12701374a80
133904c073a
14208388412
151298b04bc
hexb3a24c00

3013757952 has 88 divisors (see below), whose sum is σ = 8310001200. Its totient is φ = 969916416.

The previous prime is 3013757947. The next prime is 3013757987. The reversal of 3013757952 is 2597573103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72174 + ... + 106002.

Almost surely, 23013757952 is an apocalyptic number.

3013757952 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 3013757952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155000600).

3013757952 is an abundant number, since it is smaller than the sum of its proper divisors (5296243248).

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

3013757952 is a wasteful number, since it uses less digits than its factorization.

3013757952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33881 (or 33863 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 3013757952 is about 54897.7044328813. The cubic root of 3013757952 is about 1444.4509197623.

The spelling of 3013757952 in words is "three billion, thirteen million, seven hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2784 3072 3712 5568 7424 11136 14848 22272 29696 33829 44544 67658 89088 101487 135316 202974 270632 405948 541264 811896 981041 1082528 1623792 1962082 2165056 2943123 3247584 3924164 4330112 5886246 6495168 7848328 8660224 11772492 12990336 15696656 17320448 23544984 25980672 31393312 34640896 47089968 51961344 62786624 94179936 103922688 125573248 188359872 251146496 376719744 502292992 753439488 1004585984 1506878976 3013757952