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45023352 = 23311199857
BaseRepresentation
bin1010101111000…
…0000001111000
310010201102102120
42223300001320
543011221402
64245001240
71054456263
oct253600170
9103642376
1045023352
1123461790
12130b3220
13943514a
145d9dcda
153e453bc
hex2af0078

45023352 has 64 divisors (see below), whose sum is σ = 123552000. Its totient is φ = 13559040.

The previous prime is 45023347. The next prime is 45023359. The reversal of 45023352 is 25332054.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45023359) 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, 52108 + ... + 52964.

It is an arithmetic number, because the mean of its divisors is an integer number (1930500).

Almost surely, 245023352 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 45023352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61776000).

45023352 is an abundant number, since it is smaller than the sum of its proper divisors (78528648).

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

45023352 is a wasteful number, since it uses less digits than its factorization.

45023352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 45023352 is about 6709.9442620636. The cubic root of 45023352 is about 355.7508461593.

The spelling of 45023352 in words is "forty-five million, twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 199 264 398 597 796 857 1194 1592 1714 2189 2388 2571 3428 4378 4776 5142 6567 6856 8756 9427 10284 13134 17512 18854 20568 26268 28281 37708 52536 56562 75416 113124 170543 226248 341086 511629 682172 1023258 1364344 1875973 2046516 3751946 4093032 5627919 7503892 11255838 15007784 22511676 45023352