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45031032 = 23331631279
BaseRepresentation
bin1010101111000…
…1111001111000
310010201210222000
42223301321320
543011443112
64245101000
71054520544
oct253617170
9103653860
1045031032
1123467532
12130b7760
1394387a7
145da2a24
153e477dc
hex2af1e78

45031032 has 64 divisors (see below), whose sum is σ = 125952000. Its totient is φ = 14906592.

The previous prime is 45031013. The next prime is 45031037. The reversal of 45031032 is 23013054.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45030996 and 45031014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45031037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34569 + ... + 35847.

It is an arithmetic number, because the mean of its divisors is an integer number (1968000).

Almost surely, 245031032 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 45031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62976000).

45031032 is an abundant number, since it is smaller than the sum of its proper divisors (80920968).

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

45031032 is a wasteful number, since it uses less digits than its factorization.

45031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 45031032 is about 6710.5165225935. The cubic root of 45031032 is about 355.7710727828.

Adding to 45031032 its reverse (23013054), we get a palindrome (68044086).

The spelling of 45031032 in words is "forty-five million, thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 326 489 652 978 1279 1304 1467 1956 2558 2934 3837 3912 4401 5116 5868 7674 8802 10232 11511 11736 15348 17604 23022 30696 34533 35208 46044 69066 92088 138132 208477 276264 416954 625431 833908 1250862 1667816 1876293 2501724 3752586 5003448 5628879 7505172 11257758 15010344 22515516 45031032