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7923132438 = 2313177278219
BaseRepresentation
bin1110110000100000…
…10110100000010110
3202110011202211102120
413120100112200112
5112211310214223
63350112120410
7400225341324
oct73020264026
922404684376
107923132438
1133a6446741
121651536106
1399363b760
145523b8d14
153158b4be3
hex1d8416816

7923132438 has 64 divisors (see below), whose sum is σ = 18096099840. Its totient is φ = 2291046912.

The previous prime is 7923132433. The next prime is 7923132439. The reversal of 7923132438 is 8342313297.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7923132438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7923132433) 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 31 ways as a sum of consecutive naturals, for example, 959893 + ... + 968111.

It is an arithmetic number, because the mean of its divisors is an integer number (282751560).

Almost surely, 27923132438 is an apocalyptic number.

7923132438 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7923132438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9048049920).

7923132438 is an abundant number, since it is smaller than the sum of its proper divisors (10172967402).

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

7923132438 is a wasteful number, since it uses less digits than its factorization.

7923132438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8981.

The product of its digits is 217728, while the sum is 42.

The square root of 7923132438 is about 89011.9791825797. The cubic root of 7923132438 is about 1993.5737435627.

The spelling of 7923132438 in words is "seven billion, nine hundred twenty-three million, one hundred thirty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 727 1326 1454 2181 4362 8219 9451 12359 16438 18902 24657 24718 28353 37077 49314 56706 74154 106847 139723 160667 213694 279446 320541 321334 419169 482001 641082 838338 964002 1816399 3632798 5449197 5975213 10898394 11950426 17925639 35851278 77677769 101578621 155355538 203157242 233033307 304735863 466066614 609471726 1320522073 2641044146 3961566219 7923132438