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52863552 = 2632721873
BaseRepresentation
bin1100100110101…
…0001001000000
310200110202011100
43021222021000
5102013113202
65125014400
71211222100
oct311521100
9120422140
1052863552
1127927195
1215854400
13ac4b911
147041200
15499341c
hex326a240

52863552 has 126 divisors (see below), whose sum is σ = 176356518. Its totient is φ = 15095808.

The previous prime is 52863541. The next prime is 52863563. The reversal of 52863552 is 25536825.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52863541) and next prime (52863563).

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 22127616 = 5544^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27288 + ... + 29160.

Almost surely, 252863552 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 52863552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88178259).

52863552 is an abundant number, since it is smaller than the sum of its proper divisors (123492966).

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

52863552 is a wasteful number, since it uses less digits than its factorization.

52863552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1885 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 52863552 is about 7270.7325628165. The cubic root of 52863552 is about 375.3059476549.

The spelling of 52863552 in words is "fifty-two million, eight hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 1873 2016 2352 3136 3528 3746 4032 4704 5619 7056 7492 9408 11238 13111 14112 14984 16857 22476 26222 28224 29968 33714 39333 44952 52444 59936 67428 78666 89904 91777 104888 117999 119872 134856 157332 179808 183554 209776 235998 269712 275331 314664 359616 367108 419552 471996 539424 550662 629328 734216 825993 839104 943992 1078848 1101324 1258656 1468432 1651986 1887984 2202648 2517312 2936864 3303972 3775968 4405296 5873728 6607944 7551936 8810592 13215888 17621184 26431776 52863552