Search a number
-
+
427630731 = 31112958507
BaseRepresentation
bin11001011111010…
…010000010001011
31002210122220002020
4121133102002023
51333433140411
6110233335523
713411541553
oct3137220213
91083586066
10427630731
111aa428330
12bb2675a3
136a797048
1440b18163
1527820606
hex197d208b

427630731 has 8 divisors (see below), whose sum is σ = 622008384. Its totient is φ = 259170120.

The previous prime is 427630729. The next prime is 427630757. The reversal of 427630731 is 137036724.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 427630731 - 21 = 427630729 is a prime.

It is a super-3 number, since 3×4276307313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 12958507 = 427630731 / (4 + 2 + 7 + 6 + 3 + 0 + 7 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 427630692 and 427630701.

It is not an unprimeable number, because it can be changed into a prime (427630711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6479221 + ... + 6479286.

It is an arithmetic number, because the mean of its divisors is an integer number (77751048).

Almost surely, 2427630731 is an apocalyptic number.

427630731 is a deficient number, since it is larger than the sum of its proper divisors (194377653).

427630731 is a wasteful number, since it uses less digits than its factorization.

427630731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12958521.

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 427630731 is about 20679.2342943350. The cubic root of 427630731 is about 753.3954086255.

The spelling of 427630731 in words is "four hundred twenty-seven million, six hundred thirty thousand, seven hundred thirty-one".

Divisors: 1 3 11 33 12958507 38875521 142543577 427630731