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90922368 = 273972441
BaseRepresentation
bin1010110101101…
…01110110000000
320100002100001010
411122311312000
5141234003433
613004440520
72152553535
oct532656600
9210070033
1090922368
1147361359
1226549140
1315ab5a24
14c10ad8c
157eaee63
hex56b5d80

90922368 has 64 divisors (see below), whose sum is σ = 244102320. Its totient is φ = 29982720.

The previous prime is 90922367. The next prime is 90922369. The reversal of 90922368 is 86322909.

It is an interprime number because it is at equal distance from previous prime (90922367) and next prime (90922369).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90922367) 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 7 ways as a sum of consecutive naturals, for example, 36028 + ... + 38468.

Almost surely, 290922368 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 90922368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122051160).

90922368 is an abundant number, since it is smaller than the sum of its proper divisors (153179952).

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

90922368 is a wasteful number, since it uses less digits than its factorization.

90922368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 90922368 is about 9535.3221235572. The cubic root of 90922368 is about 449.6662018412. Note that the first 3 decimals are identical.

The spelling of 90922368 in words is "ninety million, nine hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1552 2328 2441 3104 4656 4882 6208 7323 9312 9764 12416 14646 18624 19528 29292 37248 39056 58584 78112 117168 156224 234336 236777 312448 468672 473554 710331 937344 947108 1420662 1894216 2841324 3788432 5682648 7576864 11365296 15153728 22730592 30307456 45461184 90922368