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90796468 = 22741139569
BaseRepresentation
bin1010110100101…
…11000110110100
320022211221100011
411122113012310
5141220441333
613002030004
72151520510
oct532270664
9208757304
1090796468
1147285804
12264a8304
1315a70629
14c0b7140
157e879cd
hex56971b4

90796468 has 48 divisors (see below), whose sum is σ = 187689600. Its totient is φ = 37624320.

The previous prime is 90796463. The next prime is 90796469. The reversal of 90796468 is 86469709.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90796463) 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, 159288 + ... + 159856.

It is an arithmetic number, because the mean of its divisors is an integer number (3910200).

Almost surely, 290796468 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 90796468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93844800).

90796468 is an abundant number, since it is smaller than the sum of its proper divisors (96893132).

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

90796468 is a wasteful number, since it uses less digits than its factorization.

90796468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 90796468 is about 9528.7180669805. The cubic root of 90796468 is about 449.4585553739.

The spelling of 90796468 in words is "ninety million, seven hundred ninety-six thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 41 82 139 164 278 287 556 569 574 973 1138 1148 1946 2276 3892 3983 5699 7966 11398 15932 22796 23329 39893 46658 79091 79786 93316 158182 159572 163303 316364 326606 553637 653212 1107274 2214548 3242731 6485462 12970924 22699117 45398234 90796468