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52968576 = 273271509
BaseRepresentation
bin1100101000001…
…1110010000000
310200200002020010
43022003302000
5102024443301
65131144520
71212140223
oct312036200
9120602203
1052968576
1127999091
12158a5140
13ac8766b
14706b5ba
1549b45d6
hex3283c80

52968576 has 64 divisors (see below), whose sum is σ = 141494400. Its totient is φ = 17556480.

The previous prime is 52968569. The next prime is 52968593. The reversal of 52968576 is 67586925.

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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103810 + ... + 104318.

It is an arithmetic number, because the mean of its divisors is an integer number (2210850).

Almost surely, 252968576 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 52968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70747200).

52968576 is an abundant number, since it is smaller than the sum of its proper divisors (88525824).

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

52968576 is a wasteful number, since it uses less digits than its factorization.

52968576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 785 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 52968576 is about 7277.9513601013. The cubic root of 52968576 is about 375.5543233092.

The spelling of 52968576 in words is "fifty-two million, nine hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 271 384 509 542 813 1018 1084 1527 1626 2036 2168 3054 3252 4072 4336 6108 6504 8144 8672 12216 13008 16288 17344 24432 26016 32576 34688 48864 52032 65152 97728 104064 137939 195456 275878 413817 551756 827634 1103512 1655268 2207024 3310536 4414048 6621072 8828096 13242144 17656192 26484288 52968576