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49056120 = 23325433169
BaseRepresentation
bin1011101100100…
…0100101111000
310102022022100100
42323020211320
5100024243440
64511235400
71133653521
oct273104570
9112268310
1049056120
1125766653
1214518b60
13a2178b9
14672d848
154490230
hex2ec8978

49056120 has 96 divisors (see below), whose sum is σ = 163191600. Its totient is φ = 12773376.

The previous prime is 49056113. The next prime is 49056121. The reversal of 49056120 is 2165094.

49056120 is a `hidden beast` number, since 49 + 0 + 5 + 612 + 0 = 666.

49056120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49056121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13896 + ... + 17064.

Almost surely, 249056120 is an apocalyptic number.

49056120 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 49056120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81595800).

49056120 is an abundant number, since it is smaller than the sum of its proper divisors (114135480).

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

49056120 is a wasteful number, since it uses less digits than its factorization.

49056120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 49056120 is about 7004.0074243250. The cubic root of 49056120 is about 366.0702185439.

It can be divided in two parts, 4905 and 6120, that added together give a square (11025 = 1052).

The spelling of 49056120 in words is "forty-nine million, fifty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3169 3870 5160 6338 7740 9507 12676 15480 15845 19014 25352 28521 31690 38028 47535 57042 63380 76056 95070 114084 126760 136267 142605 190140 228168 272534 285210 380280 408801 545068 570420 681335 817602 1090136 1140840 1226403 1362670 1635204 2044005 2452806 2725340 3270408 4088010 4905612 5450680 6132015 8176020 9811224 12264030 16352040 24528060 49056120