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90728424 = 233647331
BaseRepresentation
bin1010110100001…
…10011111101000
320022201111000000
411122012133220
5141211302144
613000343000
72151115233
oct532063750
9208644000
1090728424
1147239676
1226474a60
1315a48677
14c09a41a
157e72769
hex56867e8

90728424 has 112 divisors (see below), whose sum is σ = 261270720. Its totient is φ = 29509920.

The previous prime is 90728383. The next prime is 90728441. The reversal of 90728424 is 42482709.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 273939 + ... + 274269.

Almost surely, 290728424 is an apocalyptic number.

90728424 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90728424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130635360).

90728424 is an abundant number, since it is smaller than the sum of its proper divisors (170542296).

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

90728424 is a wasteful number, since it uses less digits than its factorization.

90728424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 90728424 is about 9525.1469280006. The cubic root of 90728424 is about 449.3462507085.

The spelling of 90728424 in words is "ninety million, seven hundred twenty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 243 282 324 331 376 423 486 564 648 662 729 846 972 993 1128 1269 1324 1458 1692 1944 1986 2538 2648 2916 2979 3384 3807 3972 5076 5832 5958 7614 7944 8937 10152 11421 11916 15228 15557 17874 22842 23832 26811 30456 31114 34263 35748 45684 46671 53622 62228 68526 71496 80433 91368 93342 107244 124456 137052 140013 160866 186684 214488 241299 274104 280026 321732 373368 420039 482598 560052 643464 840078 965196 1120104 1260117 1680156 1930392 2520234 3360312 3780351 5040468 7560702 10080936 11341053 15121404 22682106 30242808 45364212 90728424