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49135872 = 283137467
BaseRepresentation
bin1011101101110…
…0000100000000
310102110100202010
42323130010000
5100034321442
64513052520
71134435162
oct273340400
9112410663
1049135872
1125810565
1214557140
13a244ca6
146750932
1544a8b9c
hex2edc100

49135872 has 72 divisors (see below), whose sum is σ = 132009696. Its totient is φ = 16224256.

The previous prime is 49135871. The next prime is 49135883. The reversal of 49135872 is 27853194.

It is a self number, because there is not a number n which added to its sum of digits gives 49135872.

It is not an unprimeable number, because it can be changed into a prime (49135871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104983 + ... + 105449.

It is an arithmetic number, because the mean of its divisors is an integer number (1833468).

Almost surely, 249135872 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 49135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66004848).

49135872 is an abundant number, since it is smaller than the sum of its proper divisors (82873824).

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

49135872 is a wasteful number, since it uses less digits than its factorization.

49135872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 609 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 49135872 is about 7009.6984243261. The cubic root of 49135872 is about 366.2684882357.

It can be divided in two parts, 491 and 35872, that added together give a palindrome (36363).

The spelling of 49135872 in words is "forty-nine million, one hundred thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 467 548 768 822 934 1096 1401 1644 1868 2192 2802 3288 3736 4384 5604 6576 7472 8768 11208 13152 14944 17536 22416 26304 29888 35072 44832 52608 59776 63979 89664 105216 119552 127958 179328 191937 255916 358656 383874 511832 767748 1023664 1535496 2047328 3070992 4094656 6141984 8189312 12283968 16378624 24567936 49135872