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427412556 = 2232291133623
BaseRepresentation
bin11001011110011…
…100110001001100
31002210020210210200
4121132130301030
51333404200211
6110224533500
713406642514
oct3136346114
91083223720
10427412556
111aa29941a
12bb181290
136a71b94c
1440a9c844
15277cab56
hex1979cc4c

427412556 has 72 divisors (see below), whose sum is σ = 1127861280. Its totient is φ = 136303104.

The previous prime is 427412509. The next prime is 427412603. The reversal of 427412556 is 655214724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (427412509) and next prime (427412603).

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

It is a self number, because there is not a number n which added to its sum of digits gives 427412556.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116161 + ... + 119783.

It is an arithmetic number, because the mean of its divisors is an integer number (15664740).

Almost surely, 2427412556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427412556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563930640).

427412556 is an abundant number, since it is smaller than the sum of its proper divisors (700448724).

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

427412556 is a wasteful number, since it uses less digits than its factorization.

427412556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3770 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 427412556 is about 20673.9584018156. The cubic root of 427412556 is about 753.2672606751.

The spelling of 427412556 in words is "four hundred twenty-seven million, four hundred twelve thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 113 116 174 226 261 339 348 452 522 678 1017 1044 1356 2034 3277 3623 4068 6554 7246 9831 10869 13108 14492 19662 21738 29493 32607 39324 43476 58986 65214 105067 117972 130428 210134 315201 409399 420268 630402 818798 945603 1228197 1260804 1637596 1891206 2456394 3684591 3782412 4912788 7369182 11872571 14738364 23745142 35617713 47490284 71235426 106853139 142470852 213706278 427412556