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427506732 = 2232371392309
BaseRepresentation
bin11001011110110…
…011110000101100
31002210102120222200
4121132303300230
51333420203412
6110230541500
713410514212
oct3136636054
91083376880
10427506732
111aa353154
12bb207890
136a752783
1440ac4cb2
15277e89dc
hex197b3c2c

427506732 has 72 divisors (see below), whose sum is σ = 1118317200. Its totient is φ = 137593728.

The previous prime is 427506697. The next prime is 427506733. The reversal of 427506732 is 237605724.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (427506733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183994 + ... + 186302.

Almost surely, 2427506732 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 427506732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559158600).

427506732 is an abundant number, since it is smaller than the sum of its proper divisors (690810468).

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

427506732 is a wasteful number, since it uses less digits than its factorization.

427506732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 427506732 is about 20676.2359243650. The cubic root of 427506732 is about 753.3225815331.

The spelling of 427506732 in words is "four hundred twenty-seven million, five hundred six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 139 148 222 278 333 417 444 556 666 834 1251 1332 1668 2309 2502 4618 5004 5143 6927 9236 10286 13854 15429 20572 20781 27708 30858 41562 46287 61716 83124 85433 92574 170866 185148 256299 320951 341732 512598 641902 768897 962853 1025196 1283804 1537794 1925706 2888559 3075588 3851412 5777118 11554236 11875187 23750374 35625561 47500748 71251122 106876683 142502244 213753366 427506732