Search a number
-
+
45158472 = 2334227307
BaseRepresentation
bin1010110001000…
…1000001001000
310010222021210000
42230101001020
543030032342
64251523000
71055561232
oct254210110
9103867700
1045158472
1123544257
1213159460
1394817b8
145dd7252
153e7044c
hex2b11048

45158472 has 80 divisors (see below), whose sum is σ = 127456560. Its totient is φ = 14937696.

The previous prime is 45158441. The next prime is 45158521. The reversal of 45158472 is 27485154.

45158472 is a `hidden beast` number, since 4 + 5 + 1 + 584 + 72 = 666.

It is a super-3 number, since 3×451584723 (a number of 24 digits) contains 333 as substring.

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, 146943 + ... + 147249.

It is an arithmetic number, because the mean of its divisors is an integer number (1593207).

Almost surely, 245158472 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 45158472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63728280).

45158472 is an abundant number, since it is smaller than the sum of its proper divisors (82298088).

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

45158472 is a wasteful number, since it uses less digits than its factorization.

45158472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 539 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 45158472 is about 6720.0053571407. The cubic root of 45158472 is about 356.1063731277.

The spelling of 45158472 in words is "forty-five million, one hundred fifty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 227 307 324 454 614 648 681 908 921 1228 1362 1816 1842 2043 2456 2724 2763 3684 4086 5448 5526 6129 7368 8172 8289 11052 12258 16344 16578 18387 22104 24516 24867 33156 36774 49032 49734 66312 69689 73548 99468 139378 147096 198936 209067 278756 418134 557512 627201 836268 1254402 1672536 1881603 2508804 3763206 5017608 5644809 7526412 11289618 15052824 22579236 45158472