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93313038 = 237133137149
BaseRepresentation
bin1011000111111…
…01100000001110
320111120210102110
411203331200032
5142342004123
613132004450
72212101450
oct543754016
9214523373
1093313038
1148744515
1227300726
1316441c20
14c5702d0
1582d3493
hex58fd80e

93313038 has 128 divisors (see below), whose sum is σ = 245145600. Its totient is φ = 23016960.

The previous prime is 93313021. The next prime is 93313049. The reversal of 93313038 is 83031339.

It is a junction number, because it is equal to n+sod(n) for n = 93312996 and 93313014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 626188 + ... + 626336.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 293313038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93313038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572800).

93313038 is an abundant number, since it is smaller than the sum of its proper divisors (151832562).

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

93313038 is a wasteful number, since it uses less digits than its factorization.

93313038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 93313038 is about 9659.8673903941. The cubic root of 93313038 is about 453.5732597950.

The spelling of 93313038 in words is "ninety-three million, three hundred thirteen thousand, thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 31 37 39 42 62 74 78 91 93 111 149 182 186 217 222 259 273 298 403 434 447 481 518 546 651 777 806 894 962 1043 1147 1209 1302 1443 1554 1937 2086 2294 2418 2821 2886 3129 3367 3441 3874 4619 5513 5642 5811 6258 6734 6882 8029 8463 9238 10101 11026 11622 13559 13857 14911 16058 16539 16926 20202 24087 27118 27714 29822 32333 33078 38591 40677 44733 48174 60047 64666 71669 77182 81354 89466 96999 104377 115773 120094 143338 170903 180141 193998 208754 215007 231546 313131 341806 360282 420329 430014 501683 512709 626262 840658 1003366 1025418 1196321 1260987 1505049 2221739 2392642 2521974 3010098 3588963 4443478 6665217 7177926 13330434 15552173 31104346 46656519 93313038