Search a number
-
+
90217608 = 2331332959
BaseRepresentation
bin1010110000010…
…01110010001000
320021202112021220
411120021302020
5141043430413
612541402040
72143560045
oct530116210
9207675256
1090217608
1146a1a908
1226269320
13158ca000
14bda61cc
157dc1223
hex5609c88

90217608 has 128 divisors (see below), whose sum is σ = 257040000. Its totient is φ = 26347776.

The previous prime is 90217601. The next prime is 90217619. The reversal of 90217608 is 80671209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90217601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1529083 + ... + 1529141.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 290217608 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 90217608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520000).

90217608 is an abundant number, since it is smaller than the sum of its proper divisors (166822392).

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

90217608 is a wasteful number, since it uses less digits than its factorization.

90217608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 90217608 is about 9498.2950048943. The cubic root of 90217608 is about 448.5013652552.

The spelling of 90217608 in words is "ninety million, two hundred seventeen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 59 78 87 104 116 118 156 169 174 177 232 236 312 338 348 354 377 472 507 676 696 708 754 767 1014 1131 1352 1416 1508 1534 1711 2028 2197 2262 2301 3016 3068 3422 4056 4394 4524 4602 4901 5133 6136 6591 6844 8788 9048 9204 9802 9971 10266 13182 13688 14703 17576 18408 19604 19942 20532 22243 26364 29406 29913 39208 39884 41064 44486 52728 58812 59826 63713 66729 79768 88972 117624 119652 127426 129623 133458 177944 191139 239304 254852 259246 266916 289159 382278 388869 509704 518492 533832 578318 764556 777738 867477 1036984 1156636 1529112 1555476 1734954 2313272 3110952 3469908 3759067 6939816 7518134 11277201 15036268 22554402 30072536 45108804 90217608