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53414088 = 23371337661
BaseRepresentation
bin1100101111000…
…0100011001000
310201111201100120
43023300203020
5102133222323
65144503240
71216004130
oct313604310
9121451316
1053414088
1128172882
1215a7ab20
13b0b2390
147145ac0
154a515e3
hex32f08c8

53414088 has 128 divisors (see below), whose sum is σ = 169048320. Its totient is φ = 13685760.

The previous prime is 53414063. The next prime is 53414099. The reversal of 53414088 is 88041435.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 80478 + ... + 81138.

It is an arithmetic number, because the mean of its divisors is an integer number (1320690).

Almost surely, 253414088 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 53414088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84524160).

53414088 is an abundant number, since it is smaller than the sum of its proper divisors (115634232).

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

53414088 is a wasteful number, since it uses less digits than its factorization.

53414088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 53414088 is about 7308.4942361611. The cubic root of 53414088 is about 376.6042983727.

The spelling of 53414088 in words is "fifty-three million, four hundred fourteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 273 296 312 364 444 481 518 546 661 728 777 888 962 1036 1092 1322 1443 1554 1924 1983 2072 2184 2644 2886 3108 3367 3848 3966 4627 5288 5772 6216 6734 7932 8593 9254 10101 11544 13468 13881 15864 17186 18508 20202 24457 25779 26936 27762 34372 37016 40404 48914 51558 55524 60151 68744 73371 80808 97828 103116 111048 120302 146742 171199 180453 195656 206232 240604 293484 317941 342398 360906 481208 513597 586968 635882 684796 721812 953823 1027194 1271764 1369592 1443624 1907646 2054388 2225587 2543528 3815292 4108776 4451174 6676761 7630584 8902348 13353522 17804696 26707044 53414088