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2468480352 = 2531315113099
BaseRepresentation
bin1001001100100010…
…0000010101100000
320101000212210110020
42103020200111200
520023412332402
61044540033440
7115112510502
oct22310402540
96330783406
102468480352
111057435908
1258a832880
13304544880
14195ba7d72
15e6aa18bc
hex93220560

2468480352 has 96 divisors (see below), whose sum is σ = 7024953600. Its totient is φ = 754444800.

The previous prime is 2468480303. The next prime is 2468480389. The reversal of 2468480352 is 2530848642.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181899 + ... + 194997.

It is an arithmetic number, because the mean of its divisors is an integer number (73176600).

Almost surely, 22468480352 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 2468480352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512476800).

2468480352 is an abundant number, since it is smaller than the sum of its proper divisors (4556473248).

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

2468480352 is a wasteful number, since it uses less digits than its factorization.

2468480352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13276 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 2468480352 is about 49683.8037191196. The cubic root of 2468480352 is about 1351.4808354120.

The spelling of 2468480352 in words is "two billion, four hundred sixty-eight million, four hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 151 156 208 302 312 416 453 604 624 906 1208 1248 1812 1963 2416 3624 3926 4832 5889 7248 7852 11778 13099 14496 15704 23556 26198 31408 39297 47112 52396 62816 78594 94224 104792 157188 170287 188448 209584 314376 340574 419168 510861 628752 681148 1021722 1257504 1362296 1977949 2043444 2724592 3955898 4086888 5449184 5933847 7911796 8173776 11867694 15823592 16347552 23735388 25713337 31647184 47470776 51426674 63294368 77140011 94941552 102853348 154280022 189883104 205706696 308560044 411413392 617120088 822826784 1234240176 2468480352