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49280868 = 22327313307
BaseRepresentation
bin1011101111111…
…1011101100100
310102201201122100
42323333131210
5100103441433
64520132100
71135611000
oct273773544
9112651570
1049280868
11258aa49a
1214607030
13a295ca0
14678b700
1544d6b13
hex2eff764

49280868 has 144 divisors (see below), whose sum is σ = 156956800. Its totient is φ = 12954816.

The previous prime is 49280849. The next prime is 49280873. The reversal of 49280868 is 86808294.

It is a happy number.

49280868 is a `hidden beast` number, since 492 + 80 + 86 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160371 + ... + 160677.

Almost surely, 249280868 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 49280868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78478400).

49280868 is an abundant number, since it is smaller than the sum of its proper divisors (107675932).

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

49280868 is a wasteful number, since it uses less digits than its factorization.

49280868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 49280868 is about 7020.0333332542. The cubic root of 49280868 is about 366.6284107011.

The spelling of 49280868 in words is "forty-nine million, two hundred eighty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 307 343 364 441 468 546 588 614 637 686 819 882 921 1029 1092 1228 1274 1372 1638 1764 1842 1911 2058 2149 2548 2763 3087 3276 3684 3822 3991 4116 4298 4459 5526 5733 6174 6447 7644 7982 8596 8918 11052 11466 11973 12348 12894 13377 15043 15964 17836 19341 22932 23946 25788 26754 27937 30086 35919 38682 40131 45129 47892 53508 55874 60172 71838 77364 80262 83811 90258 105301 111748 135387 143676 160524 167622 180516 195559 210602 251433 270774 315903 335244 391118 421204 502866 541548 586677 631806 782236 947709 1005732 1173354 1263612 1368913 1760031 1895418 2346708 2737826 3520062 3790836 4106739 5475652 7040124 8213478 12320217 16426956 24640434 49280868