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5745312 = 253219949
BaseRepresentation
bin10101111010101010100000
3101210220002100
4111322222200
52432322222
6323050400
766556116
oct25725240
911726070
105745312
1132745a1
121b10a00
1312620c1
14a97ab6
157874ac
hex57aaa0

5745312 has 36 divisors (see below), whose sum is σ = 16339050. Its totient is φ = 1915008.

The previous prime is 5745307. The next prime is 5745347. The reversal of 5745312 is 2135475.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5588496 + 156816 = 2364^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 9687 + ... + 10262.

Almost surely, 25745312 is an apocalyptic number.

It is an amenable number.

5745312 is an abundant number, since it is smaller than the sum of its proper divisors (10593738).

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

5745312 is a wasteful number, since it uses less digits than its factorization.

5745312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19965 (or 19954 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 5745312 is about 2396.9380467588. The cubic root of 5745312 is about 179.1036924045.

It can be divided in two parts, 574 and 5312, that added together give a triangular number (5886 = T108).

The spelling of 5745312 in words is "five million, seven hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 19949 39898 59847 79796 119694 159592 179541 239388 319184 359082 478776 638368 718164 957552 1436328 1915104 2872656 5745312