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45806922 = 2327418867
BaseRepresentation
bin1010111010111…
…1010101001010
310012012020021200
42232233111022
543211310142
64313445030
71064231610
oct256572512
9105166250
1045806922
1123947467
1213410776
13964a9b5
1461256b0
15404c64c
hex2baf54a

45806922 has 48 divisors (see below), whose sum is σ = 116206272. Its totient is φ = 12767040.

The previous prime is 45806903. The next prime is 45806941. The reversal of 45806922 is 22960854.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45806903) and next prime (45806941).

It is a super-2 number, since 2×458069222 = 4196548206228168, which contains 22 as substring.

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, 733 + ... + 9599.

It is an arithmetic number, because the mean of its divisors is an integer number (2420964).

Almost surely, 245806922 is an apocalyptic number.

45806922 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45806922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58103136).

45806922 is an abundant number, since it is smaller than the sum of its proper divisors (70399350).

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

45806922 is a wasteful number, since it uses less digits than its factorization.

45806922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8923 (or 8920 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45806922 is about 6768.0811165352. The cubic root of 45806922 is about 357.8027741310.

The spelling of 45806922 in words is "forty-five million, eight hundred six thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2583 5166 8867 17734 26601 53202 62069 79803 124138 159606 186207 363547 372414 558621 727094 1090641 1117242 2181282 2544829 3271923 5089658 6543846 7634487 15268974 22903461 45806922