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48834432040 = 2356737974799
BaseRepresentation
bin101101011110110000…
…100100110000101000
311200001100121011222011
4231132300210300220
51300003103311130
634233443205304
73346106552302
oct553660446050
9150040534864
1048834432040
111978a844649
12956a676834
1347b3442944
142513a04972
15140c3ab52a
hexb5ec24c28

48834432040 has 64 divisors (see below), whose sum is σ = 111570048000. Its totient is φ = 19233147648.

The previous prime is 48834432037. The next prime is 48834432061. The reversal of 48834432040 is 4023443884.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 48834431984 and 48834432002.

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, 10173561 + ... + 10178359.

It is an arithmetic number, because the mean of its divisors is an integer number (1743282000).

Almost surely, 248834432040 is an apocalyptic number.

48834432040 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 48834432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55785024000).

48834432040 is an abundant number, since it is smaller than the sum of its proper divisors (62735615960).

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

48834432040 is a wasteful number, since it uses less digits than its factorization.

48834432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8674 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 48834432040 in words is "forty-eight billion, eight hundred thirty-four million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 3797 4799 7594 9598 15188 18985 19196 23995 30376 37970 38392 47990 75940 95980 151880 191960 254399 321533 508798 643066 1017596 1271995 1286132 1607665 2035192 2543990 2572264 3215330 5087980 6430660 10175960 12861320 18221803 36443606 72887212 91109015 145774424 182218030 364436060 728872120 1220860801 2441721602 4883443204 6104304005 9766886408 12208608010 24417216020 48834432040