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93444090 = 23519295653
BaseRepresentation
bin1011001000111…
…01011111111010
320111211110012020
411210131133322
5142410202330
613134455310
72213155515
oct544353772
9214743166
1093444090
1148823a23
1227364536
131648977c
14c5a5d7c
15830c210
hex591d7fa

93444090 has 64 divisors (see below), whose sum is σ = 244252800. Its totient is φ = 22788864.

The previous prime is 93444083. The next prime is 93444103. The reversal of 93444090 is 9044439.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13704 + ... + 19356.

It is an arithmetic number, because the mean of its divisors is an integer number (3816450).

Almost surely, 293444090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93444090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122126400).

93444090 is an abundant number, since it is smaller than the sum of its proper divisors (150808710).

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

93444090 is a wasteful number, since it uses less digits than its factorization.

93444090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5711.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 93444090 is about 9666.6483333159. The cubic root of 93444090 is about 453.7854983649.

The spelling of 93444090 in words is "ninety-three million, four hundred forty-four thousand, ninety".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 435 551 570 870 1102 1653 2755 3306 5510 5653 8265 11306 16530 16959 28265 33918 56530 84795 107407 163937 169590 214814 322221 327874 491811 537035 644442 819685 983622 1074070 1611105 1639370 2459055 3114803 3222210 4918110 6229606 9344409 15574015 18688818 31148030 46722045 93444090