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48947136 = 263779461
BaseRepresentation
bin1011101010110…
…1111111000000
310102002202211220
42322231333000
5100012302021
64505035040
71133021010
oct272557700
9112082756
1048947136
11256a1787
1214485a80
13a1aa104
146701c40
15446ccc6
hex2eadfc0

48947136 has 112 divisors (see below), whose sum is σ = 150205440. Its totient is φ = 13777920.

The previous prime is 48947123. The next prime is 48947141. The reversal of 48947136 is 63174984.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105946 + ... + 106406.

It is an arithmetic number, because the mean of its divisors is an integer number (1341120).

Almost surely, 248947136 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 48947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75102720).

48947136 is an abundant number, since it is smaller than the sum of its proper divisors (101258304).

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

48947136 is a wasteful number, since it uses less digits than its factorization.

48947136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 552 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 48947136 is about 6996.2229810091. Note that the first 3 decimals coincide. The cubic root of 48947136 is about 365.7989280462.

The spelling of 48947136 in words is "forty-eight million, nine hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 224 237 316 336 448 461 474 553 632 672 922 948 1106 1264 1344 1383 1659 1844 1896 2212 2528 2766 3227 3318 3688 3792 4424 5056 5532 6454 6636 7376 7584 8848 9681 11064 12908 13272 14752 15168 17696 19362 22128 25816 26544 29504 35392 36419 38724 44256 51632 53088 72838 77448 88512 103264 106176 109257 145676 154896 206528 218514 254933 291352 309792 437028 509866 582704 619584 764799 874056 1019732 1165408 1529598 1748112 2039464 2330816 3059196 3496224 4078928 6118392 6992448 8157856 12236784 16315712 24473568 48947136