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753172164 = 223220921449
BaseRepresentation
bin101100111001000…
…111111011000100
31221111020002222100
4230321013323010
53020303002124
6202423032100
724443600133
oct5471077304
91844202870
10753172164
11357167438
1219029b630
13c0068604
147205991a
15461c71c9
hex2ce47ec4

753172164 has 18 divisors (see below), whose sum is σ = 1903851950. Its totient is φ = 251057376.

The previous prime is 753172163. The next prime is 753172183. The reversal of 753172164 is 461271357.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 731269764 + 21902400 = 27042^2 + 4680^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 20921449 = 753172164 / (7 + 5 + 3 + 1 + 7 + 2 + 1 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (753172163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10460689 + ... + 10460760.

Almost surely, 2753172164 is an apocalyptic number.

It is an amenable number.

753172164 is an abundant number, since it is smaller than the sum of its proper divisors (1150679786).

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

753172164 is a wasteful number, since it uses less digits than its factorization.

753172164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20921459 (or 20921454 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 753172164 is about 27443.9822912055. The cubic root of 753172164 is about 909.8394290611.

The spelling of 753172164 in words is "seven hundred fifty-three million, one hundred seventy-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 20921449 41842898 62764347 83685796 125528694 188293041 251057388 376586082 753172164