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4287932220 = 223511132371039
BaseRepresentation
bin1111111110010100…
…1010011100111100
3102001211111112012110
43333211022130330
532240202312340
61545253134020
7211154552055
oct37745123474
912054445173
104287932220
111900475a40
129b802a310
13534485700
142c96a572c
151a169d680
hexff94a73c

4287932220 has 288 divisors, whose sum is σ = 14580034560. Its totient is φ = 932705280.

The previous prime is 4287932197. The next prime is 4287932249. The reversal of 4287932220 is 222397824.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4126461 + ... + 4127499.

It is an arithmetic number, because the mean of its divisors is an integer number (50625120).

Almost surely, 24287932220 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 4287932220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290017280).

4287932220 is an abundant number, since it is smaller than the sum of its proper divisors (10292102340).

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

4287932220 is a wasteful number, since it uses less digits than its factorization.

4287932220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4287932220 is about 65482.3046326258. The cubic root of 4287932220 is about 1624.6106800669.

The spelling of 4287932220 in words is "four billion, two hundred eighty-seven million, nine hundred thirty-two thousand, two hundred twenty".