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45442956 = 22313377873
BaseRepresentation
bin1010110101011…
…0011110001100
310011111202000110
42231112132030
543113133311
64302000020
71061154516
oct255263614
9104452013
1045442956
1123718a69
1213276010
139551130
14606cbb6
153ec98a6
hex2b5678c

45442956 has 48 divisors (see below), whose sum is σ = 117291104. Its totient is φ = 13602816.

The previous prime is 45442949. The next prime is 45442967. The reversal of 45442956 is 65924454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1836 + ... + 9708.

Almost surely, 245442956 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 45442956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58645552).

45442956 is an abundant number, since it is smaller than the sum of its proper divisors (71848148).

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

45442956 is a wasteful number, since it uses less digits than its factorization.

45442956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930 (or 7928 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 45442956 is about 6741.1390728867. The cubic root of 45442956 is about 356.8525939315.

The spelling of 45442956 in words is "forty-five million, four hundred forty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2886 5772 7873 15746 23619 31492 47238 94476 102349 204698 291301 307047 409396 582602 614094 873903 1165204 1228188 1747806 3495612 3786913 7573826 11360739 15147652 22721478 45442956