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97252056 = 2333112612
BaseRepresentation
bin1011100101111…
…11001011011000
320202222220202000
411302333023120
5144344031211
613352241000
72260425456
oct562771330
9222886660
1097252056
114a994a00
12286a0160
13171c0ac5
14ccb79d6
158810656
hex5cbf2d8

97252056 has 144 divisors (see below), whose sum is σ = 301883400. Its totient is φ = 28987200.

The previous prime is 97252049. The next prime is 97252063. The reversal of 97252056 is 65025279.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (97252049) and next prime (97252063).

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 97252056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1594266 + ... + 1594326.

Almost surely, 297252056 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 97252056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150941700).

97252056 is an abundant number, since it is smaller than the sum of its proper divisors (204631344).

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

97252056 is a wasteful number, since it uses less digits than its factorization.

97252056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 97252056 is about 9861.6457044451. The cubic root of 97252056 is about 459.8677250424.

It can be divided in two parts, 9725 and 2056, that added together give a triangular number (11781 = T153).

The spelling of 97252056 in words is "ninety-seven million, two hundred fifty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 61 66 72 88 99 108 121 122 132 183 198 216 242 244 264 297 363 366 396 484 488 549 594 671 726 732 792 968 1089 1098 1188 1342 1452 1464 1647 2013 2178 2196 2376 2684 2904 3267 3294 3721 4026 4356 4392 5368 6039 6534 6588 7381 7442 8052 8712 11163 12078 13068 13176 14762 14884 16104 18117 22143 22326 24156 26136 29524 29768 33489 36234 40931 44286 44652 48312 59048 66429 66978 72468 81862 88572 89304 100467 122793 132858 133956 144936 163724 177144 199287 200934 245586 265716 267912 327448 368379 398574 401868 450241 491172 531432 736758 797148 803736 900482 982344 1105137 1350723 1473516 1594296 1800964 2210274 2701446 2947032 3601928 4052169 4420548 5402892 8104338 8841096 10805784 12156507 16208676 24313014 32417352 48626028 97252056