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48769056 = 25327171423
BaseRepresentation
bin1011101000001…
…0100000100000
310101202201120100
42322002200200
544441102211
64501142400
71131346560
oct272024040
9111681510
1048769056
112558aa06
12143baa00
13a14703b
146696da0
154435156
hex2e82820

48769056 has 144 divisors (see below), whose sum is σ = 167940864. Its totient is φ = 13105152.

The previous prime is 48769027. The next prime is 48769079. The reversal of 48769056 is 65096784.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×487690562 = 4756841646262272, which contains 22 as substring.

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, 33561 + ... + 34983.

It is an arithmetic number, because the mean of its divisors is an integer number (1166256).

Almost surely, 248769056 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 48769056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83970432).

48769056 is an abundant number, since it is smaller than the sum of its proper divisors (119171808).

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

48769056 is a wasteful number, since it uses less digits than its factorization.

48769056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 48769056 is about 6983.4845170588. The cubic root of 48769056 is about 365.3547710912.

The spelling of 48769056 in words is "forty-eight million, seven hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1423 1428 1632 1904 2016 2142 2448 2846 2856 3808 4269 4284 4896 5692 5712 8538 8568 9961 11384 11424 12807 17076 17136 19922 22768 24191 25614 29883 34152 34272 39844 45536 48382 51228 59766 68304 72573 79688 89649 96764 102456 119532 136608 145146 159376 169337 179298 193528 204912 217719 239064 290292 318752 338674 358596 387056 409824 435438 478128 508011 580584 677348 717192 774112 870876 956256 1016022 1161168 1354696 1434384 1524033 1741752 2032044 2322336 2709392 2868768 3048066 3483504 4064088 5418784 6096132 6967008 8128176 12192264 16256352 24384528 48769056