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45946836 = 223213313167
BaseRepresentation
bin1010111101000…
…1011111010100
310012110100012200
42233101133110
543230244321
64320444500
71065353535
oct257213724
9105410180
1045946836
1123a325a1
1213479730
1396995a0
14616068c
154078d26
hex2bd17d4

45946836 has 72 divisors (see below), whose sum is σ = 129153024. Its totient is φ = 13677120.

The previous prime is 45946811. The next prime is 45946861. The reversal of 45946836 is 63864954.

It is an interprime number because it is at equal distance from previous prime (45946811) and next prime (45946861).

It is a super-2 number, since 2×459468362 = 4222223476821792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45946791 and 45946800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12925 + ... + 16091.

It is an arithmetic number, because the mean of its divisors is an integer number (1793792).

Almost surely, 245946836 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 45946836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64576512).

45946836 is an abundant number, since it is smaller than the sum of its proper divisors (83206188).

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

45946836 is a wasteful number, since it uses less digits than its factorization.

45946836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3216 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 45946836 is about 6778.4095479692. The cubic root of 45946836 is about 358.1666982687.

The spelling of 45946836 in words is "forty-five million, nine hundred forty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3167 3627 4836 6334 7254 9501 12668 14508 19002 28503 38004 41171 57006 82342 98177 114012 123513 164684 196354 247026 294531 370539 392708 494052 589062 741078 883593 1178124 1276301 1482156 1767186 2552602 3534372 3828903 5105204 7657806 11486709 15315612 22973418 45946836