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45031064 = 23132191753
BaseRepresentation
bin1010101111000…
…1111010011000
310010201211000012
42223301322120
543011443224
64245101052
71054520621
oct253617230
9103654005
1045031064
1123467561
12130b7788
139438800
145da2a48
153e4780e
hex2af1e98

45031064 has 48 divisors (see below), whose sum is σ = 96294600. Its totient is φ = 19678464.

The previous prime is 45031043. The next prime is 45031073. The reversal of 45031064 is 46013054.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24812 + ... + 26564.

Almost surely, 245031064 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 45031064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48147300).

45031064 is an abundant number, since it is smaller than the sum of its proper divisors (51263536).

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

45031064 is a wasteful number, since it uses less digits than its factorization.

45031064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 45031064 is about 6710.5189069103. The cubic root of 45031064 is about 355.7711570556.

The spelling of 45031064 in words is "forty-five million, thirty-one thousand, sixty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 169 247 338 494 676 988 1352 1753 1976 3211 3506 6422 7012 12844 14024 22789 25688 33307 45578 66614 91156 133228 182312 266456 296257 432991 592514 865982 1185028 1731964 2370056 3463928 5628883 11257766 22515532 45031064