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93068352 = 2634131381
BaseRepresentation
bin1011000110000…
…01110001000000
320111010100210000
411203001301000
5142311141402
613122440000
72210032206
oct543016100
9214110700
1093068352
11485976a3
1227203000
1316387740
14c509076
158285c1c
hex58c1c40

93068352 has 140 divisors (see below), whose sum is σ = 297320716. Its totient is φ = 28615680.

The previous prime is 93068341. The next prime is 93068363. The reversal of 93068352 is 25386039.

It is an interprime number because it is at equal distance from previous prime (93068341) and next prime (93068363).

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 66194496 = 5184^2 + 8136^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66702 + ... + 68082.

Almost surely, 293068352 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 93068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148660358).

93068352 is an abundant number, since it is smaller than the sum of its proper divisors (204252364).

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

93068352 is a wasteful number, since it uses less digits than its factorization.

93068352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 93068352 is about 9647.1939961836. The cubic root of 93068352 is about 453.1764585999.

The spelling of 93068352 in words is "ninety-three million, sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1381 1404 1728 1872 2106 2496 2592 2762 2808 3744 4143 4212 5184 5524 5616 7488 8286 8424 11048 11232 12429 16572 16848 17953 22096 22464 24858 33144 33696 35906 37287 44192 49716 53859 66288 67392 71812 74574 88384 99432 107718 111861 132576 143624 149148 161577 198864 215436 223722 265152 287248 298296 323154 397728 430872 447444 484731 574496 596592 646308 795456 861744 894888 969462 1148992 1193184 1292616 1454193 1723488 1789776 1938924 2386368 2585232 2908386 3446976 3579552 3877848 5170464 5816772 7159104 7755696 10340928 11633544 15511392 23267088 31022784 46534176 93068352