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93083904 = 2834672
BaseRepresentation
bin1011000110001…
…01100100000000
320111011011010000
411203011210000
5142312141104
613123040000
72210125434
oct543054400
9214134100
1093083904
11485a8351
1227210000
1316391844
14c5109c4
15828a639
hex58c5900

93083904 has 135 divisors (see below), whose sum is σ = 281763867. Its totient is φ = 30564864.

The previous prime is 93083867. The next prime is 93083909. The reversal of 93083904 is 40938039.

The square root of 93083904 is 9648.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×930839042 = 17329226367762432, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (93083909) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1389279 + ... + 1389345.

Almost surely, 293083904 is an apocalyptic number.

93083904 is the 9648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93083904

93083904 is an abundant number, since it is smaller than the sum of its proper divisors (188679963).

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

93083904 is an frugal number, since it uses more digits than its factorization.

93083904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 72 counting only the distinct ones).

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

The cubic root of 93083904 is about 453.2016995745.

Multiplying 93083904 by its sum of digits (36), we get a square (3351020544 = 578882).

93083904 divided by its sum of digits (36) gives a square (2585664 = 16082).

The spelling of 93083904 in words is "ninety-three million, eighty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 128 134 144 162 192 201 216 256 268 288 324 384 402 432 536 576 603 648 768 804 864 1072 1152 1206 1296 1608 1728 1809 2144 2304 2412 2592 3216 3456 3618 4288 4489 4824 5184 5427 6432 6912 7236 8576 8978 9648 10368 10854 12864 13467 14472 17152 17956 19296 20736 21708 25728 26934 28944 35912 38592 40401 43416 51456 53868 57888 71824 77184 80802 86832 107736 115776 121203 143648 154368 161604 173664 215472 231552 242406 287296 323208 347328 363609 430944 463104 484812 574592 646416 694656 727218 861888 969624 1149184 1292832 1389312 1454436 1723776 1939248 2585664 2908872 3447552 3878496 5171328 5817744 7756992 10342656 11635488 15513984 23270976 31027968 46541952 93083904