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88414326 = 232721113701
BaseRepresentation
bin1010100010100…
…01100001110110
320011100220122200
411101101201312
5140113224301
612435005330
72122336500
oct521214166
9204326580
1088414326
11459a8aa0
1225739846
1315418290
14ba56d70
157b66c86
hex5451876

88414326 has 144 divisors (see below), whose sum is σ = 262171728. Its totient is φ = 21168000.

The previous prime is 88414283. The next prime is 88414343. The reversal of 88414326 is 62341488.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125776 + ... + 126476.

It is an arithmetic number, because the mean of its divisors is an integer number (1820637).

Almost surely, 288414326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88414326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131085864).

88414326 is an abundant number, since it is smaller than the sum of its proper divisors (173757402).

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

88414326 is a wasteful number, since it uses less digits than its factorization.

88414326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 88414326 is about 9402.8892368250. The cubic root of 88414326 is about 445.4929956915.

It can be divided in two parts, 88 and 414326, that added together give a palindrome (414414).

The spelling of 88414326 in words is "eighty-eight million, four hundred fourteen thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 49 63 66 77 78 91 98 99 117 126 143 147 154 182 198 231 234 273 286 294 429 441 462 539 546 637 693 701 819 858 882 1001 1078 1274 1287 1386 1402 1617 1638 1911 2002 2103 2574 3003 3234 3822 4206 4851 4907 5733 6006 6309 7007 7711 9009 9113 9702 9814 11466 12618 14014 14721 15422 18018 18226 21021 23133 27339 29442 34349 42042 44163 46266 53977 54678 63063 63791 68698 69399 82017 88326 100243 103047 107954 126126 127582 138798 161931 164034 191373 200486 206094 300729 309141 323862 377839 382746 446537 485793 574119 601458 618282 701701 755678 893074 902187 971586 1133517 1148238 1339611 1403402 1804374 2105103 2267034 2679222 3400551 4018833 4210206 4911907 6315309 6801102 8037666 9823814 12630618 14735721 29471442 44207163 88414326