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45730476 = 223211176793
BaseRepresentation
bin1010111001110…
…0101010101100
310012001100102100
42232130222230
543201333401
64312055100
71063463001
oct256345254
9105040370
1045730476
11238a4a90
1213394490
139621c6c
1461058a8
154034b86
hex2b9caac

45730476 has 72 divisors (see below), whose sum is σ = 133542864. Its totient is φ = 13040640.

The previous prime is 45730471. The next prime is 45730507. The reversal of 45730476 is 67403754.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45730476.

It is not an unprimeable number, because it can be changed into a prime (45730471) 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, 3336 + ... + 10128.

It is an arithmetic number, because the mean of its divisors is an integer number (1854762).

Almost surely, 245730476 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 45730476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66771432).

45730476 is an abundant number, since it is smaller than the sum of its proper divisors (87812388).

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

45730476 is a wasteful number, since it uses less digits than its factorization.

45730476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6831 (or 6826 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 45730476 is about 6762.4312196133. The cubic root of 45730476 is about 357.6036206711.

The spelling of 45730476 in words is "forty-five million, seven hundred thirty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 6793 13586 20379 27172 40758 61137 74723 81516 115481 122274 149446 224169 230962 244548 298892 346443 448338 461924 672507 692886 896676 1039329 1270291 1345014 1385772 2078658 2540582 2690028 3810873 4157316 5081164 7621746 11432619 15243492 22865238 45730476