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90814968 = 23324329333
BaseRepresentation
bin1010110100110…
…11100111111000
320022212212201100
411122123213320
5141222034333
613002251400
72151625446
oct532334770
9208785640
1090814968
11472986a2
12264b6b60
1315a78b8a
14c0bdb96
157e8d213
hex569b9f8

90814968 has 48 divisors (see below), whose sum is σ = 251685720. Its totient is φ = 29566656.

The previous prime is 90814963. The next prime is 90814973. The reversal of 90814968 is 86941809.

It is an interprime number because it is at equal distance from previous prime (90814963) and next prime (90814973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90814963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11571 + ... + 17762.

Almost surely, 290814968 is an apocalyptic number.

It is an amenable number.

90814968 is an abundant number, since it is smaller than the sum of its proper divisors (160870752).

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

90814968 is a wasteful number, since it uses less digits than its factorization.

90814968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29388 (or 29381 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 90814968 is about 9529.6887672159. The cubic root of 90814968 is about 449.4890793902.

It can be divided in two parts, 908 and 14968, that added together give a square (15876 = 1262).

The spelling of 90814968 in words is "ninety million, eight hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 29333 58666 87999 117332 175998 234664 263997 351996 527994 703992 1055988 1261319 2111976 2522638 3783957 5045276 7567914 10090552 11351871 15135828 22703742 30271656 45407484 90814968