Search a number
-
+
93704382 = 23231307547
BaseRepresentation
bin1011001010111…
…01000010111110
320112022200020200
411211131002332
5142442020012
613144224330
72215321422
oct545350276
9215280220
1093704382
1148991542
122746b0a6
131654b0a5
14c632b82
15835e3dc
hex595d0be

93704382 has 48 divisors (see below), whose sum is σ = 210642432. Its totient is φ = 30073680.

The previous prime is 93704381. The next prime is 93704383. The reversal of 93704382 is 28340739.

It is an interprime number because it is at equal distance from previous prime (93704381) and next prime (93704383).

It is a super-2 number, since 2×937043822 = 17561022412003848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93704381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171033 + ... + 171579.

It is an arithmetic number, because the mean of its divisors is an integer number (4388384).

Almost surely, 293704382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93704382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105321216).

93704382 is an abundant number, since it is smaller than the sum of its proper divisors (116938050).

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

93704382 is a wasteful number, since it uses less digits than its factorization.

93704382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 93704382 is about 9680.1023754917. The cubic root of 93704382 is about 454.2064532250.

The spelling of 93704382 in words is "ninety-three million, seven hundred four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 307 547 558 614 921 1094 1641 1842 2763 3282 4923 5526 9517 9846 16957 19034 28551 33914 50871 57102 85653 101742 152613 167929 171306 305226 335858 503787 1007574 1511361 3022722 5205799 10411598 15617397 31234794 46852191 93704382