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428496 = 24379113
BaseRepresentation
bin1101000100111010000
3210202210020
41220213100
5102202441
613103440
73433155
oct1504720
9722706
10428496
11272a32
12187b80
13120063
14b222c
1586e66
hex689d0

428496 has 40 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 139776.

The previous prime is 428489. The next prime is 428503. The reversal of 428496 is 694824.

It is an interprime number because it is at equal distance from previous prime (428489) and next prime (428503).

It is a congruent number.

It is an unprimeable number.

428496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3736 + ... + 3848.

It is an arithmetic number, because the mean of its divisors is an integer number (28272).

2428496 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 428496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565440).

428496 is an abundant number, since it is smaller than the sum of its proper divisors (702384).

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

428496 is a wasteful number, since it uses less digits than its factorization.

428496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 428496 is about 654.5960586499. The cubic root of 428496 is about 75.3903206951.

The spelling of 428496 in words is "four hundred twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 113 158 226 237 316 339 452 474 632 678 904 948 1264 1356 1808 1896 2712 3792 5424 8927 17854 26781 35708 53562 71416 107124 142832 214248 428496