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48924422432 = 256126412
BaseRepresentation
bin101101100100000111…
…110111000100100000
311200021121221011120122
4231210013313010200
51300144123004212
634250420055412
73351251505044
oct554407670440
9150247834518
1048924422432
1119826619776
129594834568
1347c8c903b2
14252194c024
151415235272
hexb641f7120

48924422432 has 54 divisors (see below), whose sum is σ = 98077865067. Its totient is φ = 24023654400.

The previous prime is 48924422413. The next prime is 48924422447. The reversal of 48924422432 is 23422442984.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 17890667536 + 31033754896 = 133756^2 + 176164^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=156404.

It is a super-2 number, since 2×489244224322 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76324832 + ... + 76325472.

Almost surely, 248924422432 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 48924422432

48924422432 is an abundant number, since it is smaller than the sum of its proper divisors (49153442635).

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

48924422432 is an frugal number, since it uses more digits than its factorization.

48924422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 704 counting only the distinct ones).

The product of its digits is 884736, while the sum is 44.

The spelling of 48924422432 in words is "forty-eight billion, nine hundred twenty-four million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 641 976 1282 1952 2564 3721 5128 7442 10256 14884 20512 29768 39101 59536 78202 119072 156404 312808 410881 625616 821762 1251232 1643524 2385161 3287048 4770322 6574096 9540644 13148192 19081288 25063741 38162576 50127482 76325152 100254964 200509928 401019856 802039712 1528888201 3057776402 6115552804 12231105608 24462211216 48924422432