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93491664 = 2437713919
BaseRepresentation
bin1011001001010…
…01000111010000
320111220212110020
411210221013100
5142413213124
613135503440
72213444310
oct544510720
9214825406
1093491664
1148856742
1227387b80
13164a5316
14c5b9440
15831b379
hex59291d0

93491664 has 80 divisors (see below), whose sum is σ = 279982080. Its totient is φ = 26328960.

The previous prime is 93491663. The next prime is 93491683. The reversal of 93491664 is 46619439.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93491663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21897 + ... + 25815.

It is an arithmetic number, because the mean of its divisors is an integer number (3499776).

Almost surely, 293491664 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 93491664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

93491664 is an abundant number, since it is smaller than the sum of its proper divisors (186490416).

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

93491664 is a wasteful number, since it uses less digits than its factorization.

93491664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 4002 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 93491664 is about 9669.1087490006. The cubic root of 93491664 is about 453.8624953109.

The spelling of 93491664 in words is "ninety-three million, four hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3408 3919 3976 5964 7838 7952 11757 11928 15676 23514 23856 27433 31352 47028 54866 62704 82299 94056 109732 164598 188112 219464 278249 329196 438928 556498 658392 834747 1112996 1316784 1669494 1947743 2225992 3338988 3895486 4451984 5843229 6677976 7790972 11686458 13355952 15581944 23372916 31163888 46745832 93491664