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48701856 = 2537232137
BaseRepresentation
bin1011100111001…
…0000110100000
310101122022101110
42321302012200
544431424411
64455503320
71130646630
oct271620640
9111568343
1048701856
1125544475
1214387b40
13a122588
14667a6c0
1544202a6
hex2e721a0

48701856 has 144 divisors (see below), whose sum is σ = 153849024. Its totient is φ = 13212672.

The previous prime is 48701803. The next prime is 48701881. The reversal of 48701856 is 65810784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355420 + ... + 355556.

It is an arithmetic number, because the mean of its divisors is an integer number (1068396).

Almost surely, 248701856 is an apocalyptic number.

48701856 is a gapful number since it is divisible by the number (46) 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 48701856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76924512).

48701856 is an abundant number, since it is smaller than the sum of its proper divisors (105147168).

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

48701856 is a wasteful number, since it uses less digits than its factorization.

48701856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 48701856 is about 6978.6715068127. The cubic root of 48701856 is about 365.1868837181.

The spelling of 48701856 in words is "forty-eight million, seven hundred one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 137 138 161 168 184 224 274 276 322 336 368 411 483 529 548 552 644 672 736 822 959 966 1058 1096 1104 1288 1587 1644 1918 1932 2116 2192 2208 2576 2877 3151 3174 3288 3703 3836 3864 4232 4384 5152 5754 6302 6348 6576 7406 7672 7728 8464 9453 11109 11508 12604 12696 13152 14812 15344 15456 16928 18906 22057 22218 23016 25208 25392 29624 30688 37812 44114 44436 46032 50416 50784 59248 66171 72473 75624 88228 88872 92064 100832 118496 132342 144946 151248 176456 177744 217419 264684 289892 302496 352912 355488 434838 507311 529368 579784 705824 869676 1014622 1058736 1159568 1521933 1739352 2029244 2117472 2319136 3043866 3478704 4058488 6087732 6957408 8116976 12175464 16233952 24350928 48701856