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45747276 = 22323831997
BaseRepresentation
bin1010111010000…
…0110001001100
310012002012110120
42232200301030
543202403101
64312304540
71063562661
oct256406114
9105065416
1045747276
1123906673
12133a2150
1396297c3
14610ba68
154039b36
hex2ba0c4c

45747276 has 48 divisors (see below), whose sum is σ = 112783104. Its totient is φ = 14403136.

The previous prime is 45747271. The next prime is 45747277. The reversal of 45747276 is 67274754.

It is a super-2 number, since 2×457472762 = 4185626522840352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45747271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21910 + ... + 23906.

It is an arithmetic number, because the mean of its divisors is an integer number (2349648).

Almost surely, 245747276 is an apocalyptic number.

45747276 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 45747276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56391552).

45747276 is an abundant number, since it is smaller than the sum of its proper divisors (67035828).

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

45747276 is a wasteful number, since it uses less digits than its factorization.

45747276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2108 counting only the distinct ones).

The product of its digits is 329280, while the sum is 42.

The square root of 45747276 is about 6763.6732623627. The cubic root of 45747276 is about 357.6474062441.

The spelling of 45747276 in words is "forty-five million, seven hundred forty-seven thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 23 46 69 83 92 138 166 249 276 332 498 996 1909 1997 3818 3994 5727 5991 7636 7988 11454 11982 22908 23964 45931 91862 137793 165751 183724 275586 331502 497253 551172 663004 994506 1989012 3812273 7624546 11436819 15249092 22873638 45747276