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5402271456 = 253311355333
BaseRepresentation
bin1010000100000000…
…00001111011100000
3111221111022211021000
411002000001323200
542030440141311
62252021232000
7250605356361
oct50200017340
914844284230
105402271456
11232249455a
121069262600
136812b703a
14393697b68
15219418056
hex142001ee0

5402271456 has 96 divisors (see below), whose sum is σ = 15896351520. Its totient is φ = 1784788992.

The previous prime is 5402271401. The next prime is 5402271473. The reversal of 5402271456 is 6541722045.

It is a happy number.

5402271456 is a `hidden beast` number, since 540 + 2 + 2 + 71 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5402271456.

It is a congruent number.

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, 69966 + ... + 125298.

It is an arithmetic number, because the mean of its divisors is an integer number (165586995).

Almost surely, 25402271456 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 5402271456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7948175760).

5402271456 is an abundant number, since it is smaller than the sum of its proper divisors (10494080064).

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

5402271456 is a wasteful number, since it uses less digits than its factorization.

5402271456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55465 (or 55451 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5402271456 is about 73500.1459590387. The cubic root of 5402271456 is about 1754.6566002087.

The spelling of 5402271456 in words is "five billion, four hundred two million, two hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 113 144 216 226 288 339 432 452 678 864 904 1017 1356 1808 2034 2712 3051 3616 4068 5424 6102 8136 10848 12204 16272 24408 32544 48816 55333 97632 110666 165999 221332 331998 442664 497997 663996 885328 995994 1327992 1493991 1770656 1991988 2655984 2987982 3983976 5311968 5975964 6252629 7967952 11951928 12505258 15935904 18757887 23903856 25010516 37515774 47807712 50021032 56273661 75031548 100042064 112547322 150063096 168820983 200084128 225094644 300126192 337641966 450189288 600252384 675283932 900378576 1350567864 1800757152 2701135728 5402271456