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49256820 = 223251716097
BaseRepresentation
bin1011101111100…
…1100101110100
310102200111122200
42323321211310
5100102204240
64515424500
71135450614
oct273714564
9112614580
1049256820
1125893418
12145b5130
13a288062
146782a44
1544ce930
hex2ef9974

49256820 has 72 divisors (see below), whose sum is σ = 158211144. Its totient is φ = 12361728.

The previous prime is 49256749. The next prime is 49256821. The reversal of 49256820 is 2865294.

It is a happy number.

49256820 is a `hidden beast` number, since 4 + 92 + 568 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11655396 + 37601424 = 3414^2 + 6132^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49256821) 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, 4989 + ... + 11108.

It is an arithmetic number, because the mean of its divisors is an integer number (2197377).

Almost surely, 249256820 is an apocalyptic number.

It is an amenable number.

49256820 is an abundant number, since it is smaller than the sum of its proper divisors (108954324).

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

49256820 is a wasteful number, since it uses less digits than its factorization.

49256820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16129 (or 16124 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49256820 is about 7018.3203118695. The cubic root of 49256820 is about 366.5687654142.

The spelling of 49256820 in words is "forty-nine million, two hundred fifty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 16097 32194 48291 64388 80485 96582 144873 160970 193164 241455 273649 289746 321940 482910 547298 579492 724365 820947 965820 1094596 1368245 1448730 1641894 2462841 2736490 2897460 3283788 4104735 4925682 5472980 8209470 9851364 12314205 16418940 24628410 49256820