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90913328 = 24111931877
BaseRepresentation
bin1010110101100…
…11101000110000
320100001212122022
411122303220300
5141233211303
613004331012
72152515302
oct532635060
9210055568
1090913328
1147355590
1226543a68
1315ab188c
14c107972
157eac438
hex56b3a30

90913328 has 80 divisors (see below), whose sum is σ = 209034240. Its totient is φ = 37843200.

The previous prime is 90913321. The next prime is 90913343. The reversal of 90913328 is 82331909.

It is not an unprimeable number, because it can be changed into a prime (90913321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103226 + ... + 104102.

It is an arithmetic number, because the mean of its divisors is an integer number (2612928).

Almost surely, 290913328 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 90913328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104517120).

90913328 is an abundant number, since it is smaller than the sum of its proper divisors (118120912).

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

90913328 is a wasteful number, since it uses less digits than its factorization.

90913328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 90913328 is about 9534.8480847888. The cubic root of 90913328 is about 449.6512985881.

The spelling of 90913328 in words is "ninety million, nine hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 19 22 31 38 44 62 76 88 124 152 176 209 248 304 341 418 496 589 682 836 877 1178 1364 1672 1754 2356 2728 3344 3508 4712 5456 6479 7016 9424 9647 12958 14032 16663 19294 25916 27187 33326 38588 51832 54374 66652 77176 103664 108748 133304 154352 183293 217496 266608 299057 366586 434992 516553 598114 733172 1033106 1196228 1466344 2066212 2392456 2932688 4132424 4784912 5682083 8264848 11364166 22728332 45456664 90913328