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53086572 = 223271121741
BaseRepresentation
bin1100101010000…
…0100101101100
310200220002002100
43022200211230
5102042232242
65133455100
71213141230
oct312404554
9120802070
1053086572
1127a69800
1215941490
13acc9296
14709c5c0
1549d954c
hex32a096c

53086572 has 108 divisors (see below), whose sum is σ = 168667408. Its totient is φ = 13780800.

The previous prime is 53086543. The next prime is 53086573. The reversal of 53086572 is 27568035.

53086572 is a `hidden beast` number, since 5 + 3 + 0 + 86 + 572 = 666.

It is a super-2 number, since 2×530865722 = 5636368253422368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53086573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29622 + ... + 31362.

Almost surely, 253086572 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 53086572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84333704).

53086572 is an abundant number, since it is smaller than the sum of its proper divisors (115580836).

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

53086572 is a wasteful number, since it uses less digits than its factorization.

53086572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 53086572 is about 7286.0532526190. The cubic root of 53086572 is about 375.8329856564.

The spelling of 53086572 in words is "fifty-three million, eighty-six thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 1741 2178 2541 2772 3388 3482 4356 5082 5223 6964 7623 10164 10446 12187 15246 15669 19151 20892 24374 30492 31338 36561 38302 48748 57453 62676 73122 76604 109683 114906 134057 146244 172359 210661 219366 229812 268114 344718 402171 421322 438732 536228 631983 689436 804342 842644 1206513 1263966 1474627 1608684 1895949 2413026 2527932 2949254 3791898 4423881 4826052 5898508 7583796 8847762 13271643 17695524 26543286 53086572