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523250442 = 23511137529
BaseRepresentation
bin11111001100000…
…010101100001010
31100110120212200000
4133030002230022
52032423003232
6123531023430
715652361331
oct3714025412
91313525600
10523250442
112493a7890
1212729ab76
1384535b60
144d6c8d18
1530e0c27c
hex1f302b0a

523250442 has 96 divisors (see below), whose sum is σ = 1381423680. Its totient is φ = 146344320.

The previous prime is 523250423. The next prime is 523250447. The reversal of 523250442 is 244052325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (523250447) 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, 65734 + ... + 73262.

It is an arithmetic number, because the mean of its divisors is an integer number (14389830).

Almost surely, 2523250442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523250442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690711840).

523250442 is an abundant number, since it is smaller than the sum of its proper divisors (858173238).

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

523250442 is a wasteful number, since it uses less digits than its factorization.

523250442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7570 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 523250442 is about 22874.6681287401. The cubic root of 523250442 is about 805.8172028691.

The spelling of 523250442 in words is "five hundred twenty-three million, two hundred fifty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 243 286 297 351 429 486 594 702 858 891 1053 1287 1782 2106 2574 2673 3159 3861 5346 6318 7529 7722 11583 15058 22587 23166 34749 45174 67761 69498 82819 97877 135522 165638 195754 203283 248457 293631 406566 496914 587262 609849 745371 880893 1076647 1219698 1490742 1761786 1829547 2153294 2236113 2642679 3229941 3659094 4472226 5285358 6459882 6708339 7928037 9689823 13416678 15856074 19379646 20125017 23784111 29069469 40250034 47568222 58138938 87208407 174416814 261625221 523250442