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4002201828 = 2232111172273
BaseRepresentation
bin1110111010001100…
…1100000011100100
3101022220211220210100
43232203030003210
531144030424303
61501045024100
7201115103622
oct35643140344
911286756710
104002201828
111774158519
129383b5030
134ba212981
1429d768512
1518655c8a3
hexee8cc0e4

4002201828 has 18 divisors (see below), whose sum is σ = 10116676934. Its totient is φ = 1334067264.

The previous prime is 4002201799. The next prime is 4002201851. The reversal of 4002201828 is 8281022004.

4002201828 is a `hidden beast` number, since 400 + 220 + 18 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4001574564 + 627264 = 63258^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55586101 + ... + 55586172.

Almost surely, 24002201828 is an apocalyptic number.

It is an amenable number.

4002201828 is an abundant number, since it is smaller than the sum of its proper divisors (6114475106).

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

4002201828 is a wasteful number, since it uses less digits than its factorization.

4002201828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111172283 (or 111172278 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4002201828 is about 63262.9577873182. The cubic root of 4002201828 is about 1587.6922638818.

The spelling of 4002201828 in words is "four billion, two million, two hundred one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 111172273 222344546 333516819 444689092 667033638 1000550457 1334067276 2001100914 4002201828