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407468142 = 23222637119
BaseRepresentation
bin11000010010010…
…111100001101110
31001101201112012200
4120102113201232
51313302440032
6104233242330
713045264524
oct3022274156
91041645180
10407468142
1119a006934
12b45633a6
1366557913
143c18a314
1525b8b47c
hex1849786e

407468142 has 12 divisors (see below), whose sum is σ = 882847680. Its totient is φ = 135822708.

The previous prime is 407468141. The next prime is 407468147. The reversal of 407468142 is 241864704.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 407468097 and 407468106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407468141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11318542 + ... + 11318577.

It is an arithmetic number, because the mean of its divisors is an integer number (73570640).

Almost surely, 2407468142 is an apocalyptic number.

407468142 is an abundant number, since it is smaller than the sum of its proper divisors (475379538).

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

407468142 is a wasteful number, since it uses less digits than its factorization.

407468142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22637127 (or 22637124 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 407468142 is about 20185.8401360954. The cubic root of 407468142 is about 741.3635329873.

The spelling of 407468142 in words is "four hundred seven million, four hundred sixty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 22637119 45274238 67911357 135822714 203734071 407468142