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4297894272 = 27327373149
BaseRepresentation
bin1000000000010110…
…01010100110000000
3102002112020122120100
410000023022212000
532300230104042
61550250442400
7211335333000
oct40013124600
912075218510
104297894272
11190605a641
129bb433400
13536562c09
142cab3a000
151a24ba24c
hex1002ca980

4297894272 has 384 divisors, whose sum is σ = 14718600000. Its totient is φ = 1203019776.

The previous prime is 4297894193. The next prime is 4297894277. The reversal of 4297894272 is 2724987924.

It is a happy number.

4297894272 is a `hidden beast` number, since 4 + 297 + 89 + 4 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4297894277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28844854 + ... + 28845002.

Almost surely, 24297894272 is an apocalyptic number.

4297894272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4297894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359300000).

4297894272 is an abundant number, since it is smaller than the sum of its proper divisors (10420705728).

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

4297894272 is a wasteful number, since it uses less digits than its factorization.

4297894272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 4297894272 is about 65558.3272513874. The cubic root of 4297894272 is about 1625.8678469049.

The spelling of 4297894272 in words is "four billion, two hundred ninety-seven million, eight hundred ninety-four thousand, two hundred seventy-two".