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48685800 = 23352531531
BaseRepresentation
bin1011100110111…
…0001011101000
310101121111100210
42321232023220
544430421200
64455301120
71130552052
oct271561350
9111544323
1048685800
11255333a9
121437a7a0
13a118187
1466748d2
15441a650
hex2e6e2e8

48685800 has 96 divisors (see below), whose sum is σ = 153874080. Its totient is φ = 12729600.

The previous prime is 48685799. The next prime is 48685829. The reversal of 48685800 is 858684.

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, 31035 + ... + 32565.

It is an arithmetic number, because the mean of its divisors is an integer number (1602855).

Almost surely, 248685800 is an apocalyptic number.

48685800 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 48685800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76937040).

48685800 is an abundant number, since it is smaller than the sum of its proper divisors (105188280).

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

48685800 is a wasteful number, since it uses less digits than its factorization.

48685800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 48685800 is about 6977.5210497712. The cubic root of 48685800 is about 365.1467477729.

The spelling of 48685800 in words is "forty-eight million, six hundred eighty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 150 159 200 212 265 300 318 424 530 600 636 795 1060 1272 1325 1531 1590 2120 2650 3062 3180 3975 4593 5300 6124 6360 7655 7950 9186 10600 12248 15310 15900 18372 22965 30620 31800 36744 38275 45930 61240 76550 81143 91860 114825 153100 162286 183720 229650 243429 306200 324572 405715 459300 486858 649144 811430 918600 973716 1217145 1622860 1947432 2028575 2434290 3245720 4057150 4868580 6085725 8114300 9737160 12171450 16228600 24342900 48685800