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7990442784 = 253289311737
BaseRepresentation
bin1110111000100010…
…00111101100100000
3202121212102112212100
413130101013230200
5112331023132114
63400514530400
7402003433362
oct73421075440
922555375770
107990442784
11343043aa25
12166bb96a00
139a4577c6c
1455b2dad32
1531b75d909
hex1dc447b20

7990442784 has 72 divisors (see below), whose sum is σ = 22978207980. Its totient is φ = 2633545728.

The previous prime is 7990442783. The next prime is 7990442813. The reversal of 7990442784 is 4872440997.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7844999184 + 145443600 = 88572^2 + 12060^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 7990442784.

It is not an unprimeable number, because it can be changed into a prime (7990442783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130237 + ... + 181500.

Almost surely, 27990442784 is an apocalyptic number.

It is an amenable number.

7990442784 is an abundant number, since it is smaller than the sum of its proper divisors (14987765196).

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

7990442784 is a wasteful number, since it uses less digits than its factorization.

7990442784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311842 (or 311831 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7990442784 is about 89389.2766723168. The cubic root of 7990442784 is about 1999.2032479686.

The spelling of 7990442784 in words is "seven billion, nine hundred ninety million, four hundred forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25632 311737 623474 935211 1246948 1870422 2493896 2805633 3740844 4987792 5611266 7481688 9975584 11222532 14963376 22445064 27744593 29926752 44890128 55489186 83233779 89780256 110978372 166467558 221956744 249701337 332935116 443913488 499402674 665870232 887826976 998805348 1331740464 1997610696 2663480928 3995221392 7990442784