Search a number
-
+
83201364 = 22337331051
BaseRepresentation
bin1001111010110…
…00110101010100
312210120001211000
410331120311110
5132244420424
612131143300
72030125401
oct475306524
9183501730
1083201364
1142a68464
1223a44b30
131431159c
14b09b2a8
1574873c9
hex4f58d54

83201364 has 48 divisors (see below), whose sum is σ = 216207040. Its totient is φ = 27669600.

The previous prime is 83201357. The next prime is 83201389. The reversal of 83201364 is 46310238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78639 + ... + 79689.

Almost surely, 283201364 is an apocalyptic number.

It is an amenable number.

83201364 is an abundant number, since it is smaller than the sum of its proper divisors (133005676).

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

83201364 is a wasteful number, since it uses less digits than its factorization.

83201364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83201364 is about 9121.4781696828. The cubic root of 83201364 is about 436.5595388843.

The spelling of 83201364 in words is "eighty-three million, two hundred one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 733 1051 1466 2102 2199 2932 3153 4204 4398 6306 6597 8796 9459 12612 13194 18918 19791 26388 28377 37836 39582 56754 79164 113508 770383 1540766 2311149 3081532 4622298 6933447 9244596 13866894 20800341 27733788 41600682 83201364