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52128576 = 263397311
BaseRepresentation
bin1100011011011…
…0101101000000
310122002101222000
43012312231000
5101321103301
65101144000
71202041233
oct306665500
9118071860
1052128576
1127474a75
121555b000
13aa52216
146ccd41a
15489a786
hex31b6b40

52128576 has 112 divisors (see below), whose sum is σ = 155326080. Its totient is φ = 17141760.

The previous prime is 52128563. The next prime is 52128623. The reversal of 52128576 is 67582125.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52128576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167461 + ... + 167771.

It is an arithmetic number, because the mean of its divisors is an integer number (1386840).

Almost surely, 252128576 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 52128576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77663040).

52128576 is an abundant number, since it is smaller than the sum of its proper divisors (103197504).

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

52128576 is a wasteful number, since it uses less digits than its factorization.

52128576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 52128576 is about 7220.0121883554. The cubic root of 52128576 is about 373.5584979584.

The spelling of 52128576 in words is "fifty-two million, one hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 144 192 194 216 288 291 311 388 432 576 582 622 776 864 873 933 1164 1244 1552 1728 1746 1866 2328 2488 2619 2799 3104 3492 3732 4656 4976 5238 5598 6208 6984 7464 8397 9312 9952 10476 11196 13968 14928 16794 18624 19904 20952 22392 27936 29856 30167 33588 41904 44784 55872 59712 60334 67176 83808 89568 90501 120668 134352 167616 179136 181002 241336 268704 271503 362004 482672 537408 543006 724008 814509 965344 1086012 1448016 1629018 1930688 2172024 2896032 3258036 4344048 5792064 6516072 8688096 13032144 17376192 26064288 52128576