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3053952 = 273211241
BaseRepresentation
bin1011101001100110000000
312202011020100
423221212000
51240211302
6145242400
734646436
oct13514600
95664210
103053952
1117a6530
121033400
1382c095
14596d56
15404d1c
hex2e9980

3053952 has 96 divisors (see below), whose sum is σ = 9626760. Its totient is φ = 921600.

The previous prime is 3053951. The next prime is 3053959. The reversal of 3053952 is 2593503.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3053951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12552 + ... + 12792.

Almost surely, 23053952 is an apocalyptic number.

3053952 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 3053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813380).

3053952 is an abundant number, since it is smaller than the sum of its proper divisors (6572808).

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

3053952 is a wasteful number, since it uses less digits than its factorization.

3053952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 3053952 is about 1747.5560076862. The cubic root of 3053952 is about 145.0844058709.

It can be divided in two parts, 3053 and 952, that added together give a triangular number (4005 = T89).

The spelling of 3053952 in words is "three million, fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 241 264 288 352 384 396 482 528 576 704 723 792 964 1056 1152 1408 1446 1584 1928 2112 2169 2651 2892 3168 3856 4224 4338 5302 5784 6336 7712 7953 8676 10604 11568 12672 15424 15906 17352 21208 23136 23859 30848 31812 34704 42416 46272 47718 63624 69408 84832 92544 95436 127248 138816 169664 190872 254496 277632 339328 381744 508992 763488 1017984 1526976 3053952