Base | Representation |
---|---|
bin | 1010111101100… |
… | …0010111000000 |
3 | 10012111202210220 |
4 | 2233120113000 |
5 | 43232144401 |
6 | 4321223040 |
7 | 1065531555 |
oct | 257302700 |
9 | 105452726 |
10 | 45974976 |
11 | 23a51753 |
12 | 13491a80 |
13 | 96a9338 |
14 | 616aa2c |
15 | 4082336 |
hex | 2bd85c0 |
45974976 has 112 divisors (see below), whose sum is σ = 131673600. Its totient is φ = 14113792.
The previous prime is 45974969. The next prime is 45974989. The reversal of 45974976 is 67947954.
It is a super-2 number, since 2×459749762 = 4227396836401152, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127885 + ... + 128243.
Almost surely, 245974976 is an apocalyptic number.
45974976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 45974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65836800).
45974976 is an abundant number, since it is smaller than the sum of its proper divisors (85698624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45974976 is a wasteful number, since it uses less digits than its factorization.
45974976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 426 (or 416 counting only the distinct ones).
The product of its digits is 1905120, while the sum is 51.
The square root of 45974976 is about 6780.4849384096. The cubic root of 45974976 is about 358.2398027149.
The spelling of 45974976 in words is "forty-five million, nine hundred seventy-four thousand, nine hundred seventy-six".
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