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93389856 = 2537314483
BaseRepresentation
bin1011001000100…
…00010000100000
320111201200210120
411210100100200
5142401433411
613133400240
72212541430
oct544202040
9214650716
1093389856
11487971aa
1227339080
131646ab91
14c5902c0
1582eb106
hex5910420

93389856 has 96 divisors (see below), whose sum is σ = 289271808. Its totient is φ = 25816320.

The previous prime is 93389839. The next prime is 93389897. The reversal of 93389856 is 65898339.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 93389799 and 93389808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18591 + ... + 23073.

It is an arithmetic number, because the mean of its divisors is an integer number (3013248).

Almost surely, 293389856 is an apocalyptic number.

93389856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93389856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144635904).

93389856 is an abundant number, since it is smaller than the sum of its proper divisors (195881952).

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

93389856 is a wasteful number, since it uses less digits than its factorization.

93389856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4526 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 93389856 is about 9663.8427139518. The cubic root of 93389856 is about 453.6976905449.

The spelling of 93389856 in words is "ninety-three million, three hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 4483 5208 6944 8966 10416 13449 17932 20832 26898 31381 35864 53796 62762 71728 94143 107592 125524 138973 143456 188286 215184 251048 277946 376572 416919 430368 502096 555892 753144 833838 972811 1004192 1111784 1506288 1667676 1945622 2223568 2918433 3012576 3335352 3891244 4447136 5836866 6670704 7782488 11673732 13341408 15564976 23347464 31129952 46694928 93389856