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75244320 = 2532552253
BaseRepresentation
bin1000111110000…
…10001100100000
312020120210210200
410133002030200
5123230304240
611244425200
71602365124
oct437021440
9166523720
1075244320
1139523198
1221248200
1312786888
149dc9584
156914930
hex47c2320

75244320 has 72 divisors (see below), whose sum is σ = 256776156. Its totient is φ = 20064768.

The previous prime is 75244319. The next prime is 75244333. The reversal of 75244320 is 2344257.

It can be written as a sum of positive squares in 2 ways, for example, as 73205136 + 2039184 = 8556^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 24687 + ... + 27566.

Almost surely, 275244320 is an apocalyptic number.

It is an amenable number.

75244320 is an abundant number, since it is smaller than the sum of its proper divisors (181531836).

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

75244320 is a wasteful number, since it uses less digits than its factorization.

75244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52274 (or 52263 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 75244320 is about 8674.3483905133. The cubic root of 75244320 is about 422.1737640088.

Adding to 75244320 its reverse (2344257), we get a palindrome (77588577).

The spelling of 75244320 in words is "seventy-five million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 52253 104506 156759 209012 261265 313518 418024 470277 522530 627036 783795 836048 940554 1045060 1254072 1567590 1672096 1881108 2090120 2351385 2508144 3135180 3762216 4180240 4702770 5016288 6270360 7524432 8360480 9405540 12540720 15048864 18811080 25081440 37622160 75244320