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49915116 = 223589577
BaseRepresentation
bin1011111001101…
…0010011101100
310110220221200000
42332122103230
5100234240431
64541504300
71144162056
oct276322354
9113827600
1049915116
11261a2a69
1214872090
13a458894
1468b48d6
1545ae9e6
hex2f9a4ec

49915116 has 72 divisors (see below), whose sum is σ = 132546960. Its totient is φ = 16422912.

The previous prime is 49915097. The next prime is 49915157. The reversal of 49915116 is 61151994.

49915116 is a `hidden beast` number, since 499 + 151 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86220 + ... + 86796.

It is an arithmetic number, because the mean of its divisors is an integer number (1840930).

Almost surely, 249915116 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 49915116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66273480).

49915116 is an abundant number, since it is smaller than the sum of its proper divisors (82631844).

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

49915116 is a wasteful number, since it uses less digits than its factorization.

49915116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 49915116 is about 7065.0630570434. The cubic root of 49915116 is about 368.1945548905.

The spelling of 49915116 in words is "forty-nine million, nine hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 243 267 324 356 486 534 577 801 972 1068 1154 1602 1731 2308 2403 3204 3462 4806 5193 6924 7209 9612 10386 14418 15579 20772 21627 28836 31158 43254 46737 51353 62316 86508 93474 102706 140211 154059 186948 205412 280422 308118 462177 560844 616236 924354 1386531 1848708 2773062 4159593 5546124 8319186 12478779 16638372 24957558 49915116