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5271984 = 2432311181
BaseRepresentation
bin10100000111000110110000
3100220211210200
4110013012300
52322200414
6304555200
762545134
oct24070660
910824720
105271984
112a80a13
121922b00
131127823
149b33c4
156e2109
hex5071b0

5271984 has 60 divisors (see below), whose sum is σ = 15243072. Its totient is φ = 1699200.

The previous prime is 5271977. The next prime is 5272009. The reversal of 5271984 is 4891725.

5271984 = T381 + T382 + ... + T442.

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

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, 3874 + ... + 5054.

Almost surely, 25271984 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 5271984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7621536).

5271984 is an abundant number, since it is smaller than the sum of its proper divisors (9971088).

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

5271984 is a wasteful number, since it uses less digits than its factorization.

5271984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1217 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 5271984 is about 2296.0801379743. The cubic root of 5271984 is about 174.0435879703.

The spelling of 5271984 in words is "five million, two hundred seventy-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1181 1488 2232 2362 3543 4464 4724 7086 9448 10629 14172 18896 21258 28344 36611 42516 56688 73222 85032 109833 146444 170064 219666 292888 329499 439332 585776 658998 878664 1317996 1757328 2635992 5271984