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427451904 = 293411937
BaseRepresentation
bin11001011110100…
…110011000000000
31002210022210210000
4121132212120000
51333411430104
6110225440000
713410165315
oct3136463000
91083283700
10427451904
111aa315a40
12bb1a0000
136a733829
1440aacd0c
15277d7639
hex197a6600

427451904 has 200 divisors, whose sum is σ = 1393301448. Its totient is φ = 129392640.

The previous prime is 427451833. The next prime is 427451917. The reversal of 427451904 is 409154724.

It is a happy number.

427451904 is a `hidden beast` number, since 427 + 45 + 190 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455724 + ... + 456660.

Almost surely, 2427451904 is an apocalyptic number.

427451904 is a gapful number since it is divisible by the number (44) 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 427451904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696650724).

427451904 is an abundant number, since it is smaller than the sum of its proper divisors (965849544).

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

427451904 is an equidigital number, since it uses as much as digits as its factorization.

427451904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 427451904 is about 20674.9100118961. The cubic root of 427451904 is about 753.2903754622.

The spelling of 427451904 in words is "four hundred twenty-seven million, four hundred fifty-one thousand, nine hundred four".