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49274976 = 25317109277
BaseRepresentation
bin1011101111111…
…0000001100000
310102201102120010
42323332001200
5100103244401
64520044520
71135554552
oct273760140
9112642503
1049274976
11258a6023
1214603740
13a2933ba
1467894d2
1544d4ed6
hex2efe060

49274976 has 96 divisors (see below), whose sum is σ = 138710880. Its totient is φ = 15261696.

The previous prime is 49274969. The next prime is 49274983. The reversal of 49274976 is 67947294.

49274976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49274969) and next prime (49274983).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 177750 + ... + 178026.

It is an arithmetic number, because the mean of its divisors is an integer number (1444905).

Almost surely, 249274976 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 49274976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69355440).

49274976 is an abundant number, since it is smaller than the sum of its proper divisors (89435904).

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

49274976 is a wasteful number, since it uses less digits than its factorization.

49274976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 49274976 is about 7019.6136645830. The cubic root of 49274976 is about 366.6137988055.

The spelling of 49274976 in words is "forty-nine million, two hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 109 136 204 218 272 277 327 408 436 544 554 654 816 831 872 1108 1308 1632 1662 1744 1853 2216 2616 3324 3488 3706 4432 4709 5232 5559 6648 7412 8864 9418 10464 11118 13296 14127 14824 18836 22236 26592 28254 29648 30193 37672 44472 56508 59296 60386 75344 88944 90579 113016 120772 150688 177888 181158 226032 241544 362316 452064 483088 513281 724632 966176 1026562 1449264 1539843 2053124 2898528 3079686 4106248 6159372 8212496 12318744 16424992 24637488 49274976