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45485064 = 2334174129
BaseRepresentation
bin1010110110000…
…0110000001000
310011120212210000
42231200300020
543121010224
64302523000
71061421342
oct255406010
9104525700
1045485064
1123747669
1213296460
139567351
146080292
153ed70c9
hex2b60c08

45485064 has 80 divisors (see below), whose sum is σ = 134927100. Its totient is φ = 14266368.

The previous prime is 45485057. The next prime is 45485071. The reversal of 45485064 is 46058454.

45485064 is a `hidden beast` number, since 4 + 548 + 50 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (45485057) and next prime (45485071).

It can be written as a sum of positive squares in 2 ways, for example, as 44116164 + 1368900 = 6642^2 + 1170^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8952 + ... + 13080.

Almost surely, 245485064 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 45485064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67463550).

45485064 is an abundant number, since it is smaller than the sum of its proper divisors (89442036).

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

45485064 is a wasteful number, since it uses less digits than its factorization.

45485064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 45485064 is about 6744.2615607641. The cubic root of 45485064 is about 356.9627812340.

The spelling of 45485064 in words is "forty-five million, four hundred eighty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 4129 5508 8258 11016 12387 16516 24774 33032 37161 49548 70193 74322 99096 111483 140386 148644 210579 222966 280772 297288 334449 421158 445932 561544 631737 668898 842316 891864 1263474 1337796 1684632 1895211 2526948 2675592 3790422 5053896 5685633 7580844 11371266 15161688 22742532 45485064