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52766976 = 283127541
BaseRepresentation
bin1100100101001…
…0100100000000
310200021211200110
43021102210000
5102002020401
65122551320
71210340403
oct311224400
9120254613
1052766976
1127870679
1215808540
13ac16982
147017d3a
1549749d6
hex3252900

52766976 has 72 divisors (see below), whose sum is σ = 141804544. Its totient is φ = 17418240.

The previous prime is 52766957. The next prime is 52766993. The reversal of 52766976 is 67966725.

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, 97266 + ... + 97806.

Almost surely, 252766976 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 52766976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70902272).

52766976 is an abundant number, since it is smaller than the sum of its proper divisors (89037568).

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

52766976 is a wasteful number, since it uses less digits than its factorization.

52766976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 673 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 52766976 is about 7264.0881051926. The cubic root of 52766976 is about 375.0772605255.

The spelling of 52766976 in words is "fifty-two million, seven hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 541 762 768 1016 1082 1524 1623 2032 2164 3048 3246 4064 4328 6096 6492 8128 8656 12192 12984 16256 17312 24384 25968 32512 34624 48768 51936 68707 69248 97536 103872 137414 138496 206121 207744 274828 412242 415488 549656 824484 1099312 1648968 2198624 3297936 4397248 6595872 8794496 13191744 17588992 26383488 52766976