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90257895 = 3457133179
BaseRepresentation
bin1010110000100…
…11100111100111
320021211120120000
411120103213213
5141101223040
612542312343
72144115360
oct530234747
9207746500
1090257895
1146a48102
12262886b3
1315912450
14bdb6b67
157dcd130
hex56139e7

90257895 has 160 divisors (see below), whose sum is σ = 208158720. Its totient is φ = 36391680.

The previous prime is 90257873. The next prime is 90257899. The reversal of 90257895 is 59875209.

It is a happy number.

It is not a de Polignac number, because 90257895 - 25 = 90257863 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 90257895.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90257899) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1142466 + ... + 1142544.

It is an arithmetic number, because the mean of its divisors is an integer number (1300992).

Almost surely, 290257895 is an apocalyptic number.

90257895 is an abundant number, since it is smaller than the sum of its proper divisors (117900825).

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

90257895 is a wasteful number, since it uses less digits than its factorization.

90257895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 90257895 is about 9500.4155172287. The cubic root of 90257895 is about 448.5681152907.

The spelling of 90257895 in words is "ninety million, two hundred fifty-seven thousand, eight hundred ninety-five".

Divisors: 1 3 5 7 9 13 15 21 27 31 35 39 45 63 65 79 81 91 93 105 117 135 155 189 195 217 237 273 279 315 351 395 403 405 455 465 553 567 585 651 711 819 837 945 1027 1053 1085 1185 1209 1365 1395 1659 1755 1953 2015 2133 2449 2457 2511 2765 2821 2835 3081 3255 3555 3627 4095 4185 4977 5135 5265 5859 6045 6399 7189 7347 7371 8295 8463 9243 9765 10665 10881 12245 12285 12555 14105 14931 15405 17143 17577 18135 21567 22041 24885 25389 27729 29295 31837 31995 32643 35945 36735 36855 42315 44793 46215 51429 54405 64701 66123 74655 76167 83187 85715 87885 95511 107835 110205 126945 138645 154287 159185 163215 194103 198369 222859 223965 228501 257145 286533 323505 330615 380835 415935 462861 477555 582309 668577 771435 859599 970515 991845 1114295 1142505 1388583 1432665 2005731 2314305 2578797 2911545 3342885 4297995 6017193 6942915 10028655 12893985 18051579 30085965 90257895