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49256442 = 23229127743
BaseRepresentation
bin1011101111100…
…1011111111010
310102200111010200
42323321133322
5100102201232
64515423030
71135446534
oct273713772
9112614120
1049256442
1125893104
12145b4a76
13a287b31
146782854
1544ce77c
hex2ef97fa

49256442 has 48 divisors (see below), whose sum is σ = 111421440. Its totient is φ = 15706656.

The previous prime is 49256419. The next prime is 49256447. The reversal of 49256442 is 24465294.

49256442 is a `hidden beast` number, since 4 + 9 + 2 + 5 + 644 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49256397 and 49256406.

It is not an unprimeable number, because it can be changed into a prime (49256447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65923 + ... + 66665.

It is an arithmetic number, because the mean of its divisors is an integer number (2321280).

Almost surely, 249256442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49256442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

49256442 is an abundant number, since it is smaller than the sum of its proper divisors (62164998).

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

49256442 is a wasteful number, since it uses less digits than its factorization.

49256442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 904 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 49256442 is about 7018.2933822974. The cubic root of 49256442 is about 366.5678277211.

The spelling of 49256442 in words is "forty-nine million, two hundred fifty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 127 174 254 261 381 522 743 762 1143 1486 2229 2286 3683 4458 6687 7366 11049 13374 21547 22098 33147 43094 64641 66294 94361 129282 188722 193923 283083 387846 566166 849249 1698498 2736469 5472938 8209407 16418814 24628221 49256442