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52980096 = 2731310613
BaseRepresentation
bin1100101000011…
…0100110000000
310200200200000210
43022012212000
5102030330341
65131314120
71212215631
oct312064600
9120620023
1052980096
11279a6804
12158ab940
13ac8c990
147071888
1549b7c16
hex3286980

52980096 has 64 divisors (see below), whose sum is σ = 151567920. Its totient is φ = 16300032.

The previous prime is 52980091. The next prime is 52980119. The reversal of 52980096 is 69008925.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52980091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315 + ... + 10298.

Almost surely, 252980096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75783960).

52980096 is an abundant number, since it is smaller than the sum of its proper divisors (98587824).

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

52980096 is a wasteful number, since it uses less digits than its factorization.

52980096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10643 (or 10631 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 52980096 is about 7278.7427485796. The cubic root of 52980096 is about 375.5815474517.

The spelling of 52980096 in words is "fifty-two million, nine hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 10613 21226 31839 42452 63678 84904 127356 137969 169808 254712 275938 339616 413907 509424 551876 679232 827814 1018848 1103752 1358464 1655628 2037696 2207504 3311256 4075392 4415008 6622512 8830016 13245024 17660032 26490048 52980096