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49879456 = 25112361101
BaseRepresentation
bin1011111001000…
…1100110100000
310110212010202021
42332101212200
5100232120311
64541031224
71143653104
oct276214640
9113763667
1049879456
11261791a0
1214855514
13a445593
1468a5904
1545a4171
hex2f919a0

49879456 has 96 divisors (see below), whose sum is σ = 114742656. Its totient is φ = 21120000.

The previous prime is 49879451. The next prime is 49879457. The reversal of 49879456 is 65497894.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (49879451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493806 + ... + 493906.

It is an arithmetic number, because the mean of its divisors is an integer number (1195236).

Almost surely, 249879456 is an apocalyptic number.

49879456 is a gapful number since it is divisible by the number (46) 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 49879456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57371328).

49879456 is an abundant number, since it is smaller than the sum of its proper divisors (64863200).

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

49879456 is a wasteful number, since it uses less digits than its factorization.

49879456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 49879456 is about 7062.5389202467. The cubic root of 49879456 is about 368.1068530290.

The spelling of 49879456 in words is "forty-nine million, eight hundred seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 61 88 92 101 122 176 184 202 244 253 352 368 404 488 506 671 736 808 976 1012 1111 1342 1403 1616 1952 2024 2222 2323 2684 2806 3232 4048 4444 4646 5368 5612 6161 8096 8888 9292 10736 11224 12322 15433 17776 18584 21472 22448 24644 25553 30866 35552 37168 44896 49288 51106 61732 67771 74336 98576 102212 123464 135542 141703 197152 204424 246928 271084 283406 408848 493856 542168 566812 817696 1084336 1133624 1558733 2168672 2267248 3117466 4534496 6234932 12469864 24939728 49879456