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427935500 = 22531914481
BaseRepresentation
bin11001100000011…
…100011100001100
31002211020101010222
4121200130130030
51334022414000
6110244050512
713414251236
oct3140343414
91084211128
10427935500
111aa616303
12bb393a38
136a872995
1440b97256
1527880a85
hex1981c70c

427935500 has 48 divisors (see below), whose sum is σ = 939714048. Its totient is φ = 170240000.

The previous prime is 427935481. The next prime is 427935503. The reversal of 427935500 is 5539724.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (427935503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93260 + ... + 97740.

It is an arithmetic number, because the mean of its divisors is an integer number (19577376).

Almost surely, 2427935500 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 427935500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469857024).

427935500 is an abundant number, since it is smaller than the sum of its proper divisors (511778548).

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

427935500 is a wasteful number, since it uses less digits than its factorization.

427935500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 427935500 is about 20686.6019442537. The cubic root of 427935500 is about 753.5743457496.

The spelling of 427935500 in words is "four hundred twenty-seven million, nine hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 191 250 382 500 764 955 1910 3820 4481 4775 8962 9550 17924 19100 22405 23875 44810 47750 89620 95500 112025 224050 448100 560125 855871 1120250 1711742 2240500 3423484 4279355 8558710 17117420 21396775 42793550 85587100 106983875 213967750 427935500