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494052096 = 2831779479
BaseRepresentation
bin11101011100101…
…010001100000000
31021102122110001210
4131130222030000
52002434131341
6121005130120
715146242056
oct3534521400
91242573053
10494052096
1123397471a
12119559940
137b481a25
14498881d6
152d590c16
hex1d72a300

494052096 has 144 divisors (see below), whose sum is σ = 1412812800. Its totient is φ = 152715264.

The previous prime is 494052071. The next prime is 494052127. The reversal of 494052096 is 690250494.

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, 1031185 + ... + 1031663.

It is an arithmetic number, because the mean of its divisors is an integer number (9811200).

Almost surely, 2494052096 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 494052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706406400).

494052096 is an abundant number, since it is smaller than the sum of its proper divisors (918760704).

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

494052096 is a wasteful number, since it uses less digits than its factorization.

494052096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 494052096 is about 22227.2826949225. The cubic root of 494052096 is about 790.5407268537.

The spelling of 494052096 in words is "four hundred ninety-four million, fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 79 96 102 128 136 158 192 204 237 256 272 316 384 408 474 479 544 632 768 816 948 958 1088 1264 1343 1437 1632 1896 1916 2176 2528 2686 2874 3264 3792 3832 4029 4352 5056 5372 5748 6528 7584 7664 8058 8143 10112 10744 11496 13056 15168 15328 16116 16286 20224 21488 22992 24429 30336 30656 32232 32572 37841 42976 45984 48858 60672 61312 64464 65144 75682 85952 91968 97716 113523 122624 128928 130288 151364 171904 183936 195432 227046 257856 260576 302728 343808 367872 390864 454092 515712 521152 605456 643297 781728 908184 1031424 1042304 1210912 1286594 1563456 1816368 1929891 2084608 2421824 2573188 3126912 3632736 3859782 4843648 5146376 6253824 7265472 7719564 9687296 10292752 14530944 15439128 20585504 29061888 30878256 41171008 61756512 82342016 123513024 164684032 247026048 494052096