Search a number
-
+
93713408 = 210232173
BaseRepresentation
bin1011001010111…
…11010000000000
320112100010121222
411211133100000
5142442312113
613144334212
72215356635
oct545372000
9215303558
1093713408
11489982a8
1227474368
1316552229
14c63618c
158361e08
hex595f400

93713408 has 66 divisors (see below), whose sum is σ = 196966434. Its totient is φ = 44560384.

The previous prime is 93713393. The next prime is 93713429. The reversal of 93713408 is 80431739.

It can be written as a sum of positive squares in only one way, i.e., 91546624 + 2166784 = 9568^2 + 1472^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 541610 + ... + 541782.

Almost surely, 293713408 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 93713408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98483217).

93713408 is an abundant number, since it is smaller than the sum of its proper divisors (103253026).

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

93713408 is a wasteful number, since it uses less digits than its factorization.

93713408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 93713408 is about 9680.5685783429. The cubic root of 93713408 is about 454.2210364484.

The spelling of 93713408 in words is "ninety-three million, seven hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 173 184 256 346 368 512 529 692 736 1024 1058 1384 1472 2116 2768 2944 3979 4232 5536 5888 7958 8464 11072 11776 15916 16928 22144 23552 31832 33856 44288 63664 67712 88576 91517 127328 135424 177152 183034 254656 270848 366068 509312 541696 732136 1018624 1464272 2037248 2928544 4074496 5857088 11714176 23428352 46856704 93713408