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49144992 = 2531353743
BaseRepresentation
bin1011101101111…
…0010010100000
310102110211020220
42323132102200
5100040114432
64513203040
71134503601
oct273362240
9112424226
1049144992
11258173a6
1214560480
13a2491a0
146753da8
1544ab72c
hex2ede4a0

49144992 has 96 divisors (see below), whose sum is σ = 141740928. Its totient is φ = 14816256.

The previous prime is 49144973. The next prime is 49145009. The reversal of 49144992 is 29944194.

49144992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 65773 + ... + 66515.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 249144992 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 49144992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70870464).

49144992 is an abundant number, since it is smaller than the sum of its proper divisors (92595936).

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

49144992 is a wasteful number, since it uses less digits than its factorization.

49144992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 814 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 49144992 is about 7010.3489214161. The cubic root of 49144992 is about 366.2911475938.

The spelling of 49144992 in words is "forty-nine million, one hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 96 104 106 156 159 208 212 312 318 416 424 624 636 689 743 848 1248 1272 1378 1486 1696 2067 2229 2544 2756 2972 4134 4458 5088 5512 5944 8268 8916 9659 11024 11888 16536 17832 19318 22048 23776 28977 33072 35664 38636 39379 57954 66144 71328 77272 78758 115908 118137 154544 157516 231816 236274 309088 315032 463632 472548 511927 630064 927264 945096 1023854 1260128 1535781 1890192 2047708 3071562 3780384 4095416 6143124 8190832 12286248 16381664 24572496 49144992