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45335976 = 23372192029
BaseRepresentation
bin1010110011110…
…0010110101000
310011022022021020
42230330112220
543101222401
64255412440
71060230600
oct254742650
9104268236
1045335976
1123655654
1213224120
13951452a
146041c00
153ea7d36
hex2b3c5a8

45335976 has 96 divisors (see below), whose sum is σ = 138852000. Its totient is φ = 12265344.

The previous prime is 45335963. The next prime is 45335987. The reversal of 45335976 is 67953354.

45335976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 21330 + ... + 23358.

It is an arithmetic number, because the mean of its divisors is an integer number (1446375).

Almost surely, 245335976 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 45335976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69426000).

45335976 is an abundant number, since it is smaller than the sum of its proper divisors (93516024).

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

45335976 is a wasteful number, since it uses less digits than its factorization.

45335976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2060 counting only the distinct ones).

The product of its digits is 340200, while the sum is 42.

The square root of 45335976 is about 6733.1995366245. The cubic root of 45335976 is about 356.5723445034.

The spelling of 45335976 in words is "forty-five million, three hundred thirty-five thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2029 2793 3192 3724 4058 5586 6087 7448 8116 11172 12174 14203 16232 22344 24348 28406 38551 42609 48696 56812 77102 85218 99421 113624 115653 154204 170436 198842 231306 269857 298263 308408 340872 397684 462612 539714 596526 795368 809571 925224 1079428 1193052 1619142 1888999 2158856 2386104 3238284 3777998 5666997 6476568 7555996 11333994 15111992 22667988 45335976