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52517088 = 253213383
BaseRepresentation
bin1100100001010…
…1100011100000
310122211010220100
43020111203200
5101421021323
65113342400
71205250021
oct310254340
9118733810
1052517088
112770a958
1215707a00
13ab5a000
146d90c48
154925943
hex32158e0

52517088 has 144 divisors (see below), whose sum is σ = 163734480. Its totient is φ = 15964416.

The previous prime is 52517077. The next prime is 52517123. The reversal of 52517088 is 88071525.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632695 + ... + 632777.

It is an arithmetic number, because the mean of its divisors is an integer number (1137045).

Almost surely, 252517088 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 52517088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81867240).

52517088 is an abundant number, since it is smaller than the sum of its proper divisors (111217392).

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

52517088 is a wasteful number, since it uses less digits than its factorization.

52517088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 52517088 is about 7246.8674611862. The cubic root of 52517088 is about 374.4842403037.

The spelling of 52517088 in words is "fifty-two million, five hundred seventeen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 83 96 104 117 144 156 166 169 208 234 249 288 312 332 338 416 468 498 507 624 664 676 747 936 996 1014 1079 1248 1328 1352 1494 1521 1872 1992 2028 2158 2197 2656 2704 2988 3042 3237 3744 3984 4056 4316 4394 5408 5976 6084 6474 6591 7968 8112 8632 8788 9711 11952 12168 12948 13182 14027 16224 17264 17576 19422 19773 23904 24336 25896 26364 28054 34528 35152 38844 39546 42081 48672 51792 52728 56108 70304 77688 79092 84162 103584 105456 112216 126243 155376 158184 168324 182351 210912 224432 252486 310752 316368 336648 364702 448864 504972 547053 632736 673296 729404 1009944 1094106 1346592 1458808 1641159 2019888 2188212 2917616 3282318 4039776 4376424 5835232 6564636 8752848 13129272 17505696 26258544 52517088