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2494046968 = 237317511913
BaseRepresentation
bin1001010010101000…
…0010001011111000
320102210222201020221
42110222002023320
520101434000333
61051252025424
7115543022650
oct22452021370
96383881227
102494046968
11106a908446
12597302274
1330992694a
14199341360
15e8e51d2d
hex94a822f8

2494046968 has 64 divisors (see below), whose sum is σ = 5527019520. Its totient is φ = 1032480000.

The previous prime is 2494046953. The next prime is 2494046981. The reversal of 2494046968 is 8696404942.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302780 + ... + 1304692.

It is an arithmetic number, because the mean of its divisors is an integer number (86359680).

Almost surely, 22494046968 is an apocalyptic number.

2494046968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2494046968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763509760).

2494046968 is an abundant number, since it is smaller than the sum of its proper divisors (3032972552).

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

2494046968 is a wasteful number, since it uses less digits than its factorization.

2494046968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The square root of 2494046968 is about 49940.4341991537. The cubic root of 2494046968 is about 1356.1306844344.

The spelling of 2494046968 in words is "two billion, four hundred ninety-four million, forty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 751 868 1502 1736 1913 3004 3826 5257 6008 7652 10514 13391 15304 21028 23281 26782 42056 46562 53564 59303 93124 107128 118606 162967 186248 237212 325934 415121 474424 651868 830242 1303736 1436663 1660484 2873326 3320968 5746652 10056641 11493304 20113282 40226564 44536553 80453128 89073106 178146212 311755871 356292424 623511742 1247023484 2494046968