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90989955 = 32571923661
BaseRepresentation
bin1010110110001…
…10010110000011
320100012202202100
411123012112003
5141243134310
613010121443
72153254560
oct533062603
9210182670
1090989955
11473a8111
1226580283
1315b0a714
14c127867
157ec4ec0
hex56c6583

90989955 has 96 divisors (see below), whose sum is σ = 198282240. Its totient is φ = 37635840.

The previous prime is 90989939. The next prime is 90989957. The reversal of 90989955 is 55998909.

It is not a de Polignac number, because 90989955 - 24 = 90989939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90989957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137325 + ... + 137985.

It is an arithmetic number, because the mean of its divisors is an integer number (2065440).

Almost surely, 290989955 is an apocalyptic number.

90989955 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

90989955 is an abundant number, since it is smaller than the sum of its proper divisors (107292285).

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

90989955 is a wasteful number, since it uses less digits than its factorization.

90989955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 54.

The square root of 90989955 is about 9538.8654985800. The cubic root of 90989955 is about 449.7775938007. Note that the first 3 decimals are identical.

The spelling of 90989955 in words is "ninety million, nine hundred eighty-nine thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 9 15 19 21 23 35 45 57 63 69 95 105 115 133 161 171 207 285 315 345 399 437 483 661 665 805 855 1035 1197 1311 1449 1983 1995 2185 2415 3059 3305 3933 4627 5949 5985 6555 7245 9177 9915 12559 13881 15203 15295 19665 23135 27531 29745 37677 41643 45609 45885 62795 69405 76015 87913 106421 113031 136827 137655 188385 208215 228045 263739 288857 319263 439565 532105 565155 684135 791217 866571 957789 1318695 1444285 1596315 2021999 2599713 3956085 4332855 4788945 6065997 10109995 12998565 18197991 30329985 90989955