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7942040928 = 2536340451
BaseRepresentation
bin1110110010110000…
…11110110101100000
3202111111100111000000
413121120132311200
5112231130302203
63352025300000
7400545143163
oct73130366540
922444314000
107942040928
113406090998
121657934600
1399752c103
14554adbada
1531739c4a3
hex1d961ed60

7942040928 has 84 divisors (see below), whose sum is σ = 23443184268. Its totient is φ = 2647339200.

The previous prime is 7942040927. The next prime is 7942040929. The reversal of 7942040928 is 8290402497.

It is an interprime number because it is at equal distance from previous prime (7942040927) and next prime (7942040929).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7942040927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 146898 + ... + 193553.

It is an arithmetic number, because the mean of its divisors is an integer number (279085527).

Almost surely, 27942040928 is an apocalyptic number.

It is an amenable number.

7942040928 is an abundant number, since it is smaller than the sum of its proper divisors (15501143340).

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

7942040928 is an equidigital number, since it uses as much as digits as its factorization.

7942040928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340479 (or 340456 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7942040928 is about 89118.1290647419. The cubic root of 7942040928 is about 1995.1583660817.

The spelling of 7942040928 in words is "seven billion, nine hundred forty-two million, forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 340451 680902 1021353 1361804 2042706 2723608 3064059 4085412 5447216 6128118 8170824 9192177 10894432 12256236 16341648 18384354 24512472 27576531 32683296 36768708 49024944 55153062 73537416 82729593 98049888 110306124 147074832 165459186 220612248 248188779 294149664 330918372 441224496 496377558 661836744 882448992 992755116 1323673488 1985510232 2647346976 3971020464 7942040928