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90550152 = 233271116333
BaseRepresentation
bin1010110010110…
…10111110001000
320022101102110100
411121122332020
5141140101102
612552445400
72146443420
oct531327610
9208342410
1090550152
1147127740
12263a9860
13159b5494
14c051480
157e39a1c
hex565af88

90550152 has 96 divisors (see below), whose sum is σ = 305772480. Its totient is φ = 23518080.

The previous prime is 90550147. The next prime is 90550157. The reversal of 90550152 is 25105509.

It is an interprime number because it is at equal distance from previous prime (90550147) and next prime (90550157).

It is not an unprimeable number, because it can be changed into a prime (90550157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2623 + ... + 13710.

It is an arithmetic number, because the mean of its divisors is an integer number (3185130).

Almost surely, 290550152 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 90550152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152886240).

90550152 is an abundant number, since it is smaller than the sum of its proper divisors (215222328).

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

90550152 is a wasteful number, since it uses less digits than its factorization.

90550152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16363 (or 16356 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 90550152 is about 9515.7843607345. The cubic root of 90550152 is about 449.0517513840.

The spelling of 90550152 in words is "ninety million, five hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 16333 32666 48999 65332 97998 114331 130664 146997 179663 195996 228662 293994 342993 359326 391992 457324 538989 587988 685986 718652 914648 1028979 1077978 1175976 1257641 1371972 1437304 1616967 2057958 2155956 2515282 2743944 3233934 3772923 4115916 4311912 5030564 6467868 7545846 8231832 10061128 11318769 12935736 15091692 22637538 30183384 45275076 90550152