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48400042432 = 267223366239
BaseRepresentation
bin101101000100110111…
…100000100111000000
311121221002012220110011
4231010313200213000
51243110402324212
634122404514304
73332253400300
oct550467404700
9147832186404
1048400042432
1119587620275
1294690ab994
134744450381
1424b204b600
1513d41a34a7
hexb44de09c0

48400042432 has 84 divisors (see below), whose sum is σ = 112205658240. Its totient is φ = 20653538304.

The previous prime is 48400042429. The next prime is 48400042447. The reversal of 48400042432 is 23424000484.

It is a junction number, because it is equal to n+sod(n) for n = 48400042394 and 48400042403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 697569 + ... + 763807.

Almost surely, 248400042432 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 48400042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56102829120).

48400042432 is an abundant number, since it is smaller than the sum of its proper divisors (63805615808).

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

48400042432 is a wasteful number, since it uses less digits than its factorization.

48400042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66498 (or 66481 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

The spelling of 48400042432 in words is "forty-eight billion, four hundred million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 233 392 448 466 784 932 1568 1631 1864 3136 3262 3728 6524 7456 11417 13048 14912 22834 26096 45668 52192 66239 91336 104384 132478 182672 264956 365344 463673 529912 730688 927346 1059824 1854692 2119648 3245711 3709384 4239296 6491422 7418768 12982844 14837536 15433687 25965688 29675072 30867374 51931376 61734748 103862752 108035809 123469496 207725504 216071618 246938992 432143236 493877984 756250663 864286472 987755968 1512501326 1728572944 3025002652 3457145888 6050005304 6914291776 12100010608 24200021216 48400042432