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49182672 = 24372111901
BaseRepresentation
bin1011101110011…
…1011111010000
310102112201221110
42323213133100
5100042321142
64514053320
71135021500
oct273473720
9112481843
1049182672
1125842740
121457a240
13a260396
146763a00
1544b799c
hex2ee77d0

49182672 has 120 divisors (see below), whose sum is σ = 161320032. Its totient is φ = 12768000.

The previous prime is 49182643. The next prime is 49182673. The reversal of 49182672 is 27628194.

It is a self number, because there is not a number n which added to its sum of digits gives 49182672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49182673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24922 + ... + 26822.

Almost surely, 249182672 is an apocalyptic number.

49182672 is a gapful number since it is divisible by the number (42) 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 49182672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80660016).

49182672 is an abundant number, since it is smaller than the sum of its proper divisors (112137360).

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

49182672 is a wasteful number, since it uses less digits than its factorization.

49182672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1924 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 49182672 is about 7013.0358618789. The cubic root of 49182672 is about 366.3847368152.

The spelling of 49182672 in words is "forty-nine million, one hundred eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 1901 2156 2352 3234 3696 3802 4312 5703 6468 7604 8624 11406 12936 13307 15208 20911 22812 25872 26614 30416 39921 41822 45624 53228 62733 79842 83644 91248 93149 106456 125466 146377 159684 167288 186298 212912 250932 279447 292754 319368 334576 372596 439131 501864 558894 585508 638736 745192 878262 1003728 1024639 1117788 1171016 1490384 1756524 2049278 2235576 2342032 3073917 3513048 4098556 4471152 6147834 7026096 8197112 12295668 16394224 24591336 49182672