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90922848 = 2538311411
BaseRepresentation
bin1010110101101…
…01111101100000
320100002100200220
411122311331200
5141234012343
613004443040
72152555122
oct532657540
9210070626
1090922848
1147361755
1226549480
1315ab6003
14c10b212
157eb0183
hex56b5f60

90922848 has 48 divisors (see below), whose sum is σ = 241569216. Its totient is φ = 29939840.

The previous prime is 90922823. The next prime is 90922873. The reversal of 90922848 is 84822909.

It is an interprime number because it is at equal distance from previous prime (90922823) and next prime (90922873).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×909228482 = 16533928576862208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2263 + ... + 13673.

It is an arithmetic number, because the mean of its divisors is an integer number (5032692).

Almost surely, 290922848 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 90922848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120784608).

90922848 is an abundant number, since it is smaller than the sum of its proper divisors (150646368).

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

90922848 is a wasteful number, since it uses less digits than its factorization.

90922848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11507 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 90922848 is about 9535.3472930985. The cubic root of 90922848 is about 449.6669931368. Note that the first 3 decimals are identical.

The spelling of 90922848 in words is "ninety million, nine hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 11411 22822 34233 45644 68466 91288 136932 182576 273864 365152 547728 947113 1095456 1894226 2841339 3788452 5682678 7576904 11365356 15153808 22730712 30307616 45461424 90922848