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49999456 = 2513263457
BaseRepresentation
bin1011111010111…
…0111001100000
310111002020100201
42332232321200
5100244440311
64543354544
71144663003
oct276567140
9114066321
1049999456
1126250371
12148b2a54
13a4880a0
1468d753a
1545c99c1
hex2faee60

49999456 has 48 divisors (see below), whose sum is σ = 106644384. Its totient is φ = 22938624.

The previous prime is 49999441. The next prime is 49999463. The reversal of 49999456 is 65499994.

It is a junction number, because it is equal to n+sod(n) for n = 49999397 and 49999406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109180 + ... + 109636.

It is an arithmetic number, because the mean of its divisors is an integer number (2221758).

Almost surely, 249999456 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 49999456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53322192).

49999456 is an abundant number, since it is smaller than the sum of its proper divisors (56644928).

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

49999456 is a wasteful number, since it uses less digits than its factorization.

49999456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 735 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 55.

The square root of 49999456 is about 7071.0293451519. The cubic root of 49999456 is about 368.4018137838.

The spelling of 49999456 in words is "forty-nine million, nine hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 263 416 457 526 914 1052 1828 2104 3419 3656 4208 5941 6838 7312 8416 11882 13676 14624 23764 27352 47528 54704 95056 109408 120191 190112 240382 480764 961528 1562483 1923056 3124966 3846112 6249932 12499864 24999728 49999456