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2542313648 = 247223140989
BaseRepresentation
bin1001011110001000…
…1010000010110000
320120011210220200202
42113202022002300
520201313014043
61100134334332
7120000211100
oct22742120260
96504726622
102542313648
111095084966
125ab4ba3a8
13316926104
141a1907200
15ed2d81b8
hex9788a0b0

2542313648 has 60 divisors (see below), whose sum is σ = 5979103920. Its totient is φ = 1042183296.

The previous prime is 2542313629. The next prime is 2542313659. The reversal of 2542313648 is 8463132452.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52463 + ... + 88526.

It is an arithmetic number, because the mean of its divisors is an integer number (99651732).

Almost surely, 22542313648 is an apocalyptic number.

2542313648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2542313648 is an abundant number, since it is smaller than the sum of its proper divisors (3436790272).

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

2542313648 is a wasteful number, since it uses less digits than its factorization.

2542313648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141034 (or 141021 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 2542313648 is about 50421.3610288338. The cubic root of 2542313648 is about 1364.8231372866.

The spelling of 2542313648 in words is "two billion, five hundred forty-two million, three hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 784 1127 1288 2254 2576 4508 9016 18032 140989 281978 563956 986923 1127912 1973846 2255824 3242747 3947692 6485494 6908461 7895384 12970988 13816922 15790768 22699229 25941976 27633844 45398458 51883952 55267688 90796916 110535376 158894603 181593832 317789206 363187664 635578412 1271156824 2542313648