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93432990 = 2357597541
BaseRepresentation
bin1011001000110…
…10110010011110
320111210212222010
411210122302132
5142404323430
613134332050
72213111250
oct544326236
9214725863
1093432990
1148816652
122735a026
13164846c1
14c5a1cd0
158308cb0
hex591ac9e

93432990 has 64 divisors (see below), whose sum is σ = 260651520. Its totient is φ = 20991360.

The previous prime is 93432971. The next prime is 93432991. The reversal of 93432990 is 9923439.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93432991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8620 + ... + 16160.

It is an arithmetic number, because the mean of its divisors is an integer number (4072680).

Almost surely, 293432990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93432990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130325760).

93432990 is an abundant number, since it is smaller than the sum of its proper divisors (167218530).

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

93432990 is a wasteful number, since it uses less digits than its factorization.

93432990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7617.

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 93432990 is about 9666.0741772449. The cubic root of 93432990 is about 453.7675296220.

The spelling of 93432990 in words is "ninety-three million, four hundred thirty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 2065 2478 4130 6195 7541 12390 15082 22623 37705 45246 52787 75410 105574 113115 158361 226230 263935 316722 444919 527870 791805 889838 1334757 1583610 2224595 2669514 3114433 4449190 6228866 6673785 9343299 13347570 15572165 18686598 31144330 46716495 93432990