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2628079392 = 253194313343
BaseRepresentation
bin1001110010100101…
…0100111100100000
320210011012021011210
42130221110330200
520340242020032
61112440510120
7122061210021
oct23451247440
96704167153
102628079392
111129533a44
1261417b340
1332b624983
141ad070c48
15105aca2cc
hex9ca54f20

2628079392 has 96 divisors (see below), whose sum is σ = 7280824320. Its totient is φ = 827746560.

The previous prime is 2628079339. The next prime is 2628079397. The reversal of 2628079392 is 2939708262.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2628079397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784473 + ... + 787815.

It is an arithmetic number, because the mean of its divisors is an integer number (75841920).

Almost surely, 22628079392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628079392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640412160).

2628079392 is an abundant number, since it is smaller than the sum of its proper divisors (4652744928).

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

2628079392 is a wasteful number, since it uses less digits than its factorization.

2628079392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2628079392 is about 51264.7968102869. The cubic root of 2628079392 is about 1380.0012938446.

The spelling of 2628079392 in words is "two billion, six hundred twenty-eight million, seventy-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 431 456 608 862 912 1293 1724 1824 2586 3343 3448 5172 6686 6896 8189 10029 10344 13372 13792 16378 20058 20688 24567 26744 32756 40116 41376 49134 53488 63517 65512 80232 98268 106976 127034 131024 160464 190551 196536 254068 262048 320928 381102 393072 508136 762204 786144 1016272 1440833 1524408 2032544 2881666 3048816 4322499 5763332 6097632 8644998 11526664 17289996 23053328 27375827 34579992 46106656 54751654 69159984 82127481 109503308 138319968 164254962 219006616 328509924 438013232 657019848 876026464 1314039696 2628079392