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5628003948 = 2232742295281
BaseRepresentation
bin1010011110111010…
…01000011001101100
3112112020002020000200
411033131020121230
543011232111243
62330243353500
7256316146530
oct51735103154
915466066020
105628003948
112428952736
121110982890
136b8cb0a68
143b5657bc0
1522e156ad3
hex14f74866c

5628003948 has 72 divisors (see below), whose sum is σ = 16265602080. Its totient is φ = 1607316480.

The previous prime is 5628003947. The next prime is 5628003961. The reversal of 5628003948 is 8493008265.

5628003948 is a `hidden beast` number, since 562 + 80 + 0 + 3 + 9 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5628003947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1063068 + ... + 1068348.

It is an arithmetic number, because the mean of its divisors is an integer number (225911140).

Almost surely, 25628003948 is an apocalyptic number.

It is an amenable number.

5628003948 is an abundant number, since it is smaller than the sum of its proper divisors (10637598132).

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

5628003948 is a wasteful number, since it uses less digits than its factorization.

5628003948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527 (or 9522 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5628003948 is about 75020.0236470237. The cubic root of 5628003948 is about 1778.7631802772.

The spelling of 5628003948 in words is "five billion, six hundred twenty-eight million, three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4229 5281 8458 10562 12687 15843 16916 21124 25374 29603 31686 36967 38061 47529 50748 59206 63372 73934 76122 88809 95058 110901 118412 147868 152244 177618 190116 221802 266427 332703 355236 443604 532854 665406 1065708 1330812 22333349 44666698 67000047 89333396 134000094 156333443 201000141 268000188 312666886 402000282 469000329 625333772 804000564 938000658 1407000987 1876001316 2814001974 5628003948