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75240153 = 32234379107
BaseRepresentation
bin1000111110000…
…01001011011001
312020120121002100
410133001023121
5123230141103
611244354013
71602350022
oct437011331
9166517070
1075240153
113952004a
1221245909
1312784a01
149dc7c49
1569135a3
hex47c12d9

75240153 has 48 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 45837792.

The previous prime is 75240149. The next prime is 75240157. The reversal of 75240153 is 35104257.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75240149) and next prime (75240157).

It is not a de Polignac number, because 75240153 - 22 = 75240149 is a prime.

It is a super-2 number, since 2×752401532 = 11322161246926818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75240157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703126 + ... + 703232.

It is an arithmetic number, because the mean of its divisors is an integer number (2471040).

Almost surely, 275240153 is an apocalyptic number.

It is an amenable number.

75240153 is a deficient number, since it is larger than the sum of its proper divisors (43369767).

75240153 is a wasteful number, since it uses less digits than its factorization.

75240153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 255 counting only the distinct ones).

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

The square root of 75240153 is about 8674.1081962355. The cubic root of 75240153 is about 422.1659705942.

The spelling of 75240153 in words is "seventy-five million, two hundred forty thousand, one hundred fifty-three".

Divisors: 1 3 9 23 43 69 79 107 129 207 237 321 387 711 963 989 1817 2461 2967 3397 4601 5451 7383 8453 8901 10191 13803 16353 22149 25359 30573 41409 76077 78131 105823 194419 234393 317469 363479 583257 703179 952407 1090437 1749771 3271311 8360017 25080051 75240153