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90474678 = 23372311103
BaseRepresentation
bin1010110010010…
…00100010110110
320022020120221000
411121020202312
5141130142203
612551104130
72146010400
oct531104266
9208216830
1090474678
1147085a68
1226372046
131598a018
14c031b70
157e224a3
hex56488b6

90474678 has 96 divisors (see below), whose sum is σ = 241643520. Its totient is φ = 24993360.

The previous prime is 90474677. The next prime is 90474679. The reversal of 90474678 is 87647409.

It is an interprime number because it is at equal distance from previous prime (90474677) and next prime (90474679).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90474677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81475 + ... + 82577.

It is an arithmetic number, because the mean of its divisors is an integer number (2517120).

Almost surely, 290474678 is an apocalyptic number.

90474678 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90474678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120821760).

90474678 is an abundant number, since it is smaller than the sum of its proper divisors (151168842).

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

90474678 is a wasteful number, since it uses less digits than its factorization.

90474678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 90474678 is about 9511.8178073384. The cubic root of 90474678 is about 448.9269544186.

The spelling of 90474678 in words is "ninety million, four hundred seventy-four thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 279 294 378 434 441 558 651 837 882 1103 1302 1323 1519 1674 1953 2206 2646 3038 3309 3906 4557 5859 6618 7721 9114 9927 11718 13671 15442 19854 23163 27342 29781 34193 41013 46326 54047 59562 68386 69489 82026 102579 108094 138978 162141 205158 208467 239351 307737 324282 416934 478702 486423 615474 718053 923211 972846 1436106 1459269 1675457 1846422 2154159 2918538 3350914 4308318 5026371 6462477 10052742 12924954 15079113 30158226 45237339 90474678