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428742360 = 233251190951
BaseRepresentation
bin11001100011100…
…001011011011000
31002212202100221200
4121203201123120
51334224223420
6110313234200
713424151504
oct3143413330
91085670850
10428742360
11200017532
12bb702960
136aa96007
1440d27304
152798eb90
hex198e16d8

428742360 has 48 divisors (see below), whose sum is σ = 1393413840. Its totient is φ = 114331200.

The previous prime is 428742317. The next prime is 428742367. The reversal of 428742360 is 63247824.

It is a super-2 number, since 2×4287423602 = 367640022516739200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428742367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595116 + ... + 595835.

It is an arithmetic number, because the mean of its divisors is an integer number (29029455).

Almost surely, 2428742360 is an apocalyptic number.

428742360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428742360 is an abundant number, since it is smaller than the sum of its proper divisors (964671480).

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

428742360 is a wasteful number, since it uses less digits than its factorization.

428742360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190968 (or 1190961 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 428742360 is about 20706.0947549266. The cubic root of 428742360 is about 754.0476626054.

The spelling of 428742360 in words is "four hundred twenty-eight million, seven hundred forty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1190951 2381902 3572853 4763804 5954755 7145706 9527608 10718559 11909510 14291412 17864265 21437118 23819020 28582824 35728530 42874236 47638040 53592795 71457060 85748472 107185590 142914120 214371180 428742360