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45035676 = 223576619
BaseRepresentation
bin1010101111001…
…1000010011100
310010202001100000
42223303002130
543012120201
64245134300
71054540230
oct253630234
9103661300
1045035676
112346aa74
12130ba390
13943a93a
145da45c0
153e48d86
hex2af309c

45035676 has 72 divisors (see below), whose sum is σ = 134942080. Its totient is φ = 12865392.

The previous prime is 45035659. The next prime is 45035687. The reversal of 45035676 is 67653054.

45035676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450356762 = 4056424225553952, which contains 22 as substring.

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 45035676.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3495 + ... + 10113.

Almost surely, 245035676 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 45035676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67471040).

45035676 is an abundant number, since it is smaller than the sum of its proper divisors (89906404).

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

45035676 is a wasteful number, since it uses less digits than its factorization.

45035676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 45035676 is about 6710.8625377071. The cubic root of 45035676 is about 355.7833024534.

The spelling of 45035676 in words is "forty-five million, thirty-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6619 6804 13238 19857 26476 39714 46333 59571 79428 92666 119142 138999 178713 185332 238284 277998 357426 416997 536139 555996 714852 833994 1072278 1250991 1608417 1667988 2144556 2501982 3216834 3752973 5003964 6433668 7505946 11258919 15011892 22517838 45035676