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75241914 = 23112611699
BaseRepresentation
bin1000111110000…
…01100110111010
312020120200111120
410133001212322
5123230220124
611244410110
71602355116
oct437014672
9166520446
1075241914
1139521400
1221246936
1312785757
149dc8746
156913d79
hex47c19ba

75241914 has 48 divisors (see below), whose sum is σ = 168218400. Its totient is φ = 22413600.

The previous prime is 75241913. The next prime is 75241961. The reversal of 75241914 is 41914257.

It is a happy number.

It is a super-2 number, since 2×752419142 = 11322691244766792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (75241913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43437 + ... + 45135.

It is an arithmetic number, because the mean of its divisors is an integer number (3504550).

Almost surely, 275241914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75241914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84109200).

75241914 is an abundant number, since it is smaller than the sum of its proper divisors (92976486).

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

75241914 is a wasteful number, since it uses less digits than its factorization.

75241914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1776 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 75241914 is about 8674.2097046359. The cubic root of 75241914 is about 422.1692641746.

The spelling of 75241914 in words is "seventy-five million, two hundred forty-one thousand, nine hundred fourteen".

Divisors: 1 2 3 6 11 22 33 61 66 121 122 183 242 363 366 671 726 1342 1699 2013 3398 4026 5097 7381 10194 14762 18689 22143 37378 44286 56067 103639 112134 205579 207278 310917 411158 616737 621834 1140029 1233474 2280058 3420087 6840174 12540319 25080638 37620957 75241914