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90328392 = 23337115431
BaseRepresentation
bin1010110001001…
…00110101001000
320021222011021000
411120210311020
5141111002032
612544015000
72144531040
oct530446510
9207864230
1090328392
1146a96070
1226301460
131593856b
14bdd4720
157de3e7c
hex5624d48

90328392 has 128 divisors (see below), whose sum is σ = 312883200. Its totient is φ = 23457600.

The previous prime is 90328391. The next prime is 90328393. The reversal of 90328392 is 29382309.

It is an interprime number because it is at equal distance from previous prime (90328391) and next prime (90328393).

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

It is not an unprimeable number, because it can be changed into a prime (90328391) by changing a digit.

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, 13917 + ... + 19347.

It is an arithmetic number, because the mean of its divisors is an integer number (2444400).

Almost surely, 290328392 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 90328392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156441600).

90328392 is an abundant number, since it is smaller than the sum of its proper divisors (222554808).

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

90328392 is a wasteful number, since it uses less digits than its factorization.

90328392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 90328392 is about 9504.1249991780. The cubic root of 90328392 is about 448.6848713813.

It can be divided in two parts, 9032 and 8392, that added together give a square (17424 = 1322).

The spelling of 90328392 in words is "ninety million, three hundred twenty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5431 5544 8316 10862 16293 16632 21724 32586 38017 43448 48879 59741 65172 76034 97758 114051 119482 130344 146637 152068 179223 195516 228102 238964 293274 304136 342153 358446 391032 418187 456204 477928 537669 586548 684306 716892 836374 912408 1026459 1075338 1173096 1254561 1368612 1433784 1613007 1672748 2052918 2150676 2509122 2737224 3226014 3345496 3763683 4105836 4301352 5018244 6452028 7527366 8211672 10036488 11291049 12904056 15054732 22582098 30109464 45164196 90328392