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90184794 = 23722313337
BaseRepresentation
bin1010110000000…
…01110001011010
320021200212021120
411120001301122
5141041403134
612540550110
72143362300
oct530016132
9207625246
1090184794
11469a8197
1226252336
13158b80ab
14bd98270
157db6649
hex5601c5a

90184794 has 48 divisors (see below), whose sum is σ = 218956608. Its totient is φ = 24644928.

The previous prime is 90184781. The next prime is 90184883. The reversal of 90184794 is 49748109.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94 + ... + 13430.

It is an arithmetic number, because the mean of its divisors is an integer number (4561596).

Almost surely, 290184794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90184794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109478304).

90184794 is an abundant number, since it is smaller than the sum of its proper divisors (128771814).

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

90184794 is a wasteful number, since it uses less digits than its factorization.

90184794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13379 (or 13372 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 90184794 is about 9496.5674851496. The cubic root of 90184794 is about 448.4469822702.

The spelling of 90184794 in words is "ninety million, one hundred eighty-four thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 294 322 483 966 1127 2254 3381 6762 13337 26674 40011 80022 93359 186718 280077 306751 560154 613502 653513 920253 1307026 1840506 1960539 2147257 3921078 4294514 6441771 12883542 15030799 30061598 45092397 90184794