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90478608 = 243111929311
BaseRepresentation
bin1010110010010…
…01100000010000
320022020210022120
411121021200100
5141130303413
612551134240
72146025013
oct531114020
9208223276
1090478608
1147088a10
1226374380
131598ba4c
14c03337a
157e23723
hex5649810

90478608 has 160 divisors (see below), whose sum is σ = 278553600. Its totient is φ = 24998400.

The previous prime is 90478601. The next prime is 90478613. The reversal of 90478608 is 80687409.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90478608.

It is not an unprimeable number, because it can be changed into a prime (90478601) 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, 290773 + ... + 291083.

It is an arithmetic number, because the mean of its divisors is an integer number (1740960).

Almost surely, 290478608 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 90478608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139276800).

90478608 is an abundant number, since it is smaller than the sum of its proper divisors (188074992).

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

90478608 is a wasteful number, since it uses less digits than its factorization.

90478608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 90478608 is about 9512.0243902126. The cubic root of 90478608 is about 448.9334544229.

The spelling of 90478608 in words is "ninety million, four hundred seventy-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 29 33 38 44 48 57 58 66 76 87 88 114 116 132 152 174 176 209 228 232 264 304 311 319 348 418 456 464 528 551 622 627 638 696 836 912 933 957 1102 1244 1254 1276 1392 1653 1672 1866 1914 2204 2488 2508 2552 3306 3344 3421 3732 3828 4408 4976 5016 5104 5909 6061 6612 6842 7464 7656 8816 9019 10032 10263 11818 12122 13224 13684 14928 15312 17727 18038 18183 20526 23636 24244 26448 27057 27368 35454 36076 36366 41052 47272 48488 54114 54736 64999 70908 72152 72732 82104 94544 96976 99209 108228 129998 141816 144304 145464 164208 171361 194997 198418 216456 259996 283632 290928 297627 342722 389994 396836 432912 514083 519992 595254 685444 779988 793672 1028166 1039984 1190508 1370888 1559976 1587344 1884971 2056332 2381016 2741776 3119952 3769942 4112664 4762032 5654913 7539884 8225328 11309826 15079768 22619652 30159536 45239304 90478608