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90948088 = 23711191773
BaseRepresentation
bin1010110101111…
…00000111111000
320100010122022201
411122330013320
5141240314323
613005155544
72153021530
oct532740770
9210118281
1090948088
1147379710
122655bbb4
1315ac464a
14c1164c0
157eb78ad
hex56bc1f8

90948088 has 64 divisors (see below), whose sum is σ = 213995520. Its totient is φ = 35203200.

The previous prime is 90948083. The next prime is 90948101. The reversal of 90948088 is 88084909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90948083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117270 + ... + 118042.

It is an arithmetic number, because the mean of its divisors is an integer number (3343680).

Almost surely, 290948088 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 90948088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106997760).

90948088 is an abundant number, since it is smaller than the sum of its proper divisors (123047432).

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

90948088 is a wasteful number, since it uses less digits than its factorization.

90948088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 90948088 is about 9536.6706978903. The cubic root of 90948088 is about 449.7085981720.

The spelling of 90948088 in words is "ninety million, nine hundred forty-eight thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 191 308 382 616 764 773 1337 1528 1546 2101 2674 3092 4202 5348 5411 6184 8404 8503 10696 10822 14707 16808 17006 21644 29414 34012 43288 58828 59521 68024 117656 119042 147643 238084 295286 476168 590572 1033501 1181144 1624073 2067002 3248146 4134004 6496292 8268008 11368511 12992584 22737022 45474044 90948088