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90779424 = 2538311393
BaseRepresentation
bin1010110100100…
…10111100100000
320022211001221220
411122102330200
5141214420144
613001415040
72151420021
oct532227440
9208731856
1090779424
1147273a1a
122649a480
1315a65948
14c0b0c48
157e82919
hex5692f20

90779424 has 48 divisors (see below), whose sum is σ = 241188192. Its totient is φ = 29892608.

The previous prime is 90779417. The next prime is 90779431. The reversal of 90779424 is 42497709.

It is an interprime number because it is at equal distance from previous prime (90779417) and next prime (90779431).

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

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, 2272 + ... + 13664.

It is an arithmetic number, because the mean of its divisors is an integer number (5024754).

Almost surely, 290779424 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 90779424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120594096).

90779424 is an abundant number, since it is smaller than the sum of its proper divisors (150408768).

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

90779424 is a wasteful number, since it uses less digits than its factorization.

90779424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11489 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 90779424 is about 9527.8236759503. The cubic root of 90779424 is about 449.4304300104.

The spelling of 90779424 in words is "ninety million, seven hundred seventy-nine thousand, four hundred twenty-four".

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 11393 22786 34179 45572 68358 91144 136716 182288 273432 364576 546864 945619 1093728 1891238 2836857 3782476 5673714 7564952 11347428 15129904 22694856 30259808 45389712 90779424