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2492034944 = 2773311831
BaseRepresentation
bin1001010010001001…
…0110111110000000
320102200012111021112
42110202112332000
520100430104234
61051140542452
7115516643000
oct22442267600
96380174245
102492034944
111069763813
125966b1a28
133093a0bb9
14198d7a000
15e8ba5ace
hex94896f80

2492034944 has 128 divisors (see below), whose sum is σ = 5979648000. Its totient is φ = 1032998400.

The previous prime is 2492034929. The next prime is 2492034959. The reversal of 2492034944 is 4494302942.

It is an interprime number because it is at equal distance from previous prime (2492034929) and next prime (2492034959).

It is a tau number, because it is divible by the number of its divisors (128).

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, 1360109 + ... + 1361939.

It is an arithmetic number, because the mean of its divisors is an integer number (46716000).

Almost surely, 22492034944 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 2492034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989824000).

2492034944 is an abundant number, since it is smaller than the sum of its proper divisors (3487613056).

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

2492034944 is an equidigital number, since it uses as much as digits as its factorization.

2492034944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The square root of 2492034944 is about 49920.2858966172. The cubic root of 2492034944 is about 1355.7659089527.

The spelling of 2492034944 in words is "two billion, four hundred ninety-two million, thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 343 392 434 448 496 686 784 868 896 992 1372 1519 1568 1736 1831 1984 2744 3038 3136 3472 3662 3968 5488 6076 6272 6944 7324 10633 10976 12152 12817 13888 14648 21266 21952 24304 25634 27776 29296 42532 43904 48608 51268 56761 58592 85064 89719 97216 102536 113522 117184 170128 179438 194432 205072 227044 234368 340256 358876 397327 410144 454088 628033 680512 717752 794654 820288 908176 1256066 1361024 1435504 1589308 1640576 1816352 2512132 2781289 2871008 3178616 3632704 5024264 5562578 5742016 6357232 7265408 10048528 11125156 11484032 12714464 19469023 20097056 22250312 25428928 38938046 40194112 44500624 50857856 77876092 80388224 89001248 155752184 178002496 311504368 356004992 623008736 1246017472 2492034944