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49303144 = 2311231253
BaseRepresentation
bin1011110000010…
…0111001101000
310102202212012101
42330010321220
5100110200034
64520423144
71136032642
oct274047150
9112685171
1049303144
1125915200
1214617ab4
13a2a3177
146795892
1544dd514
hex2f04e68

49303144 has 72 divisors (see below), whose sum is σ = 106975890. Its totient is φ = 21278400.

The previous prime is 49303073. The next prime is 49303153. The reversal of 49303144 is 44130394.

It can be written as a sum of positive squares in only one way, i.e., 37675044 + 11628100 = 6138^2 + 3410^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 930222 + ... + 930274.

Almost surely, 249303144 is an apocalyptic number.

49303144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53487945).

49303144 is an abundant number, since it is smaller than the sum of its proper divisors (57672746).

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

49303144 is a wasteful number, since it uses less digits than its factorization.

49303144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 49303144 is about 7021.6197561531. The cubic root of 49303144 is about 366.6836436584.

The spelling of 49303144 in words is "forty-nine million, three hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 53 62 88 106 121 124 212 242 248 341 424 484 583 682 961 968 1166 1364 1643 1922 2332 2728 3286 3751 3844 4664 6413 6572 7502 7688 10571 12826 13144 15004 18073 21142 25652 30008 36146 42284 50933 51304 72292 84568 101866 116281 144584 198803 203732 232562 397606 407464 465124 560263 795212 930248 1120526 1590424 2241052 4482104 6162893 12325786 24651572 49303144