Search a number
-
+
93372264 = 2335431117
BaseRepresentation
bin1011001000010…
…11111101101000
320111200210200000
411210023331220
5142400403024
613133143000
72212436226
oct544137550
9214623600
1093372264
1148784a67
122732aa60
1316462b7b
14c587b16
1582e5cc9
hex590bf68

93372264 has 96 divisors (see below), whose sum is σ = 268588320. Its totient is φ = 30373056.

The previous prime is 93372263. The next prime is 93372269. The reversal of 93372264 is 46227339.

It is a happy number.

It is a super-3 number, since 3×933722643 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93372263) 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, 83034 + ... + 84150.

It is an arithmetic number, because the mean of its divisors is an integer number (2797795).

Almost surely, 293372264 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 93372264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134294160).

93372264 is an abundant number, since it is smaller than the sum of its proper divisors (175216056).

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

93372264 is a wasteful number, since it uses less digits than its factorization.

93372264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1165 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 93372264 is about 9662.9324741509. The cubic root of 93372264 is about 453.6692008305.

It can be divided in two parts, 93372 and 264, that added together give a square (93636 = 3062).

The spelling of 93372264 in words is "ninety-three million, three hundred seventy-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 243 258 324 344 387 486 516 648 774 972 1032 1117 1161 1548 1944 2234 2322 3096 3351 3483 4468 4644 6702 6966 8936 9288 10053 10449 13404 13932 20106 20898 26808 27864 30159 40212 41796 48031 60318 80424 83592 90477 96062 120636 144093 180954 192124 241272 271431 288186 361908 384248 432279 542862 576372 723816 864558 1085724 1152744 1296837 1729116 2171448 2593674 3458232 3890511 5187348 7781022 10374696 11671533 15562044 23343066 31124088 46686132 93372264