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49055680 = 265413739
BaseRepresentation
bin1011101100100…
…0011111000000
310102022021202001
42323020133000
5100024240210
64511233344
71133652322
oct273103700
9112267661
1049055680
1125766293
1214518854
13a21763b
14672d612
15449003a
hex2ec87c0

49055680 has 56 divisors (see below), whose sum is σ = 119694960. Its totient is φ = 19138560.

The previous prime is 49055653. The next prime is 49055683. The reversal of 49055680 is 8655094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49055683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11251 + ... + 14989.

It is an arithmetic number, because the mean of its divisors is an integer number (2137410).

Almost surely, 249055680 is an apocalyptic number.

49055680 is a gapful number since it is divisible by the number (40) 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 49055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59847480).

49055680 is an abundant number, since it is smaller than the sum of its proper divisors (70639280).

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

49055680 is a wasteful number, since it uses less digits than its factorization.

49055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 49055680 is about 7003.9760136654. The cubic root of 49055680 is about 366.0691240738.

It can be divided in two parts, 4905 and 5680, that added together give a triangular number (10585 = T145).

The spelling of 49055680 in words is "forty-nine million, fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 3739 6560 7478 13120 14956 18695 29912 37390 59824 74780 119648 149560 153299 239296 299120 306598 598240 613196 766495 1196480 1226392 1532990 2452784 3065980 4905568 6131960 9811136 12263920 24527840 49055680