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427152352 = 25113133877
BaseRepresentation
bin11001011101011…
…101001111100000
31002202202120212111
4121131131033200
51333322333402
6110215205104
713404510064
oct3135351740
91082676774
10427152352
111aa130980
12bb076794
136a65a393
1440a31aa4
15277789d7
hex1975d3e0

427152352 has 48 divisors (see below), whose sum is σ = 920575152. Its totient is φ = 193489920.

The previous prime is 427152337. The next prime is 427152359. The reversal of 427152352 is 253251724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427152359) 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, 108238 + ... + 112114.

It is an arithmetic number, because the mean of its divisors is an integer number (19178649).

Almost surely, 2427152352 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 427152352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460287576).

427152352 is an abundant number, since it is smaller than the sum of its proper divisors (493422800).

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

427152352 is a wasteful number, since it uses less digits than its factorization.

427152352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211 (or 4203 counting only the distinct ones).

The product of its digits is 16800, while the sum is 31.

The square root of 427152352 is about 20667.6644060232. The cubic root of 427152352 is about 753.1143694074.

The spelling of 427152352 in words is "four hundred twenty-seven million, one hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 313 352 626 1252 2504 3443 3877 5008 6886 7754 10016 13772 15508 27544 31016 42647 55088 62032 85294 110176 124064 170588 341176 682352 1213501 1364704 2427002 4854004 9708008 13348511 19416016 26697022 38832032 53394044 106788088 213576176 427152352