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93928692 = 2231113127431
BaseRepresentation
bin1011001100100…
…11110011110100
320112202001221110
411212103303310
5143021204232
613153115020
72220244404
oct546236364
9215661843
1093928692
1149025020
1227558a70
13165c9210
14c690804
1583a5acc
hex5993cf4

93928692 has 96 divisors (see below), whose sum is σ = 260112384. Its totient is φ = 26006400.

The previous prime is 93928657. The next prime is 93928697. The reversal of 93928692 is 29682939.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93928697) 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, 217717 + ... + 218147.

It is an arithmetic number, because the mean of its divisors is an integer number (2709504).

Almost surely, 293928692 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 93928692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130056192).

93928692 is an abundant number, since it is smaller than the sum of its proper divisors (166183692).

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

93928692 is a wasteful number, since it uses less digits than its factorization.

93928692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 93928692 is about 9691.6815878360. The cubic root of 93928692 is about 454.5685916126.

The spelling of 93928692 in words is "ninety-three million, nine hundred twenty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 127 132 143 156 254 286 381 429 431 508 572 762 858 862 1293 1397 1524 1651 1716 1724 2586 2794 3302 4191 4741 4953 5172 5588 5603 6604 8382 9482 9906 11206 14223 16764 16809 18161 18964 19812 22412 28446 33618 36322 54483 54737 56892 61633 67236 72644 108966 109474 123266 164211 184899 217932 218948 246532 328422 369798 602107 656844 711581 739596 1204214 1423162 1806321 2134743 2408428 2846324 3612642 4269486 7225284 7827391 8538972 15654782 23482173 31309564 46964346 93928692