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48040365408 = 253771488639
BaseRepresentation
bin101100101111011011…
…011100110101100000
311121000000102102022220
4230233123130311200
51241341313143113
634022555431040
73320325240240
oct545733346540
9147000372286
1048040365408
1119412596632
129388755480
1346b7a89629
14247a381b20
1513b2807523
hexb2f6dcd60

48040365408 has 48 divisors (see below), whose sum is σ = 144121098240. Its totient is φ = 13725818496.

The previous prime is 48040365383. The next prime is 48040365409. The reversal of 48040365408 is 80456304084.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 48040365408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48040365409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35743648 + ... + 35744991.

It is an arithmetic number, because the mean of its divisors is an integer number (3002522880).

Almost surely, 248040365408 is an apocalyptic number.

48040365408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48040365408 is an abundant number, since it is smaller than the sum of its proper divisors (96080732832).

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

48040365408 is a wasteful number, since it uses less digits than its factorization.

48040365408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71488659 (or 71488651 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 48040365408 in words is "forty-eight billion, forty million, three hundred sixty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 71488639 142977278 214465917 285954556 428931834 500420473 571909112 857863668 1000840946 1143818224 1501261419 1715727336 2001681892 2287636448 3002522838 3431454672 4003363784 6005045676 6862909344 8006727568 12010091352 16013455136 24020182704 48040365408