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427061628 = 223271694689
BaseRepresentation
bin11001011101000…
…111000101111100
31002202120222102100
4121131013011330
51333311433003
6110213225100
713403651430
oct3135070574
91082528370
10427061628
111aa0797a4
12bb032190
136a627cb6
1440a0a9c0
152775bba3
hex1974717c

427061628 has 36 divisors (see below), whose sum is σ = 1233734320. Its totient is φ = 122017536.

The previous prime is 427061603. The next prime is 427061653. The reversal of 427061628 is 826160724.

427061628 is a `hidden beast` number, since 4 + 27 + 0 + 6 + 1 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (427061603) and next prime (427061653).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4270616282 = 364763268220020768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 427061592 and 427061601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 847093 + ... + 847596.

Almost surely, 2427061628 is an apocalyptic number.

It is an amenable number.

427061628 is an abundant number, since it is smaller than the sum of its proper divisors (806672692).

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

427061628 is a wasteful number, since it uses less digits than its factorization.

427061628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694706 (or 1694701 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 427061628 is about 20665.4694599469. The cubic root of 427061628 is about 753.0610469917.

The spelling of 427061628 in words is "four hundred twenty-seven million, sixty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1694689 3389378 5084067 6778756 10168134 11862823 15252201 20336268 23725646 30504402 35588469 47451292 61008804 71176938 106765407 142353876 213530814 427061628