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93930408 = 233311133041
BaseRepresentation
bin1011001100101…
…00001110101000
320112202011022000
411212110032220
5143021233113
613153131000
72220252405
oct546241650
9215664260
1093930408
1149026340
1227559a60
13165c9c30
14c6912ac
1583a6373
hex59943a8

93930408 has 128 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 26265600.

The previous prime is 93930379. The next prime is 93930427. The reversal of 93930408 is 80403939.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29368 + ... + 32408.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 293930408 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 93930408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

93930408 is an abundant number, since it is smaller than the sum of its proper divisors (212703192).

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

93930408 is a wasteful number, since it uses less digits than its factorization.

93930408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 93930408 is about 9691.7701169601. The cubic root of 93930408 is about 454.5713597939.

The spelling of 93930408 in words is "ninety-three million, nine hundred thirty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 2376 2574 2808 3041 3432 3861 5148 6082 7722 9123 10296 12164 15444 18246 24328 27369 30888 33451 36492 39533 54738 66902 72984 79066 82107 100353 109476 118599 133804 158132 164214 200706 218952 237198 267608 301059 316264 328428 355797 401412 434863 474396 602118 656856 711594 802824 869726 903177 948792 1067391 1204236 1304589 1423188 1739452 1806354 2134782 2408472 2609178 2846376 3478904 3612708 3913767 4269564 5218356 7225416 7827534 8539128 10436712 11741301 15655068 23482602 31310136 46965204 93930408