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787428 = 223323317
BaseRepresentation
bin11000000001111100100
31111000011000
43000033210
5200144203
624513300
76456465
oct3001744
91430130
10787428
11498674
1231b830
13217545
14166d6c
151084a3
hexc03e4

787428 has 48 divisors (see below), whose sum is σ = 2136960. Its totient is φ = 250272.

The previous prime is 787427. The next prime is 787429. The reversal of 787428 is 824787.

It is an interprime number because it is at equal distance from previous prime (787427) and next prime (787429).

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 787392 and 787401.

It is not an unprimeable number, because it can be changed into a prime (787427) 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, 2326 + ... + 2642.

It is an arithmetic number, because the mean of its divisors is an integer number (44520).

2787428 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 787428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068480).

787428 is an abundant number, since it is smaller than the sum of its proper divisors (1349532).

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

787428 is a wasteful number, since it uses less digits than its factorization.

787428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 787428 is about 887.3713991334. The cubic root of 787428 is about 92.3429230903.

The spelling of 787428 in words is "seven hundred eighty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 317 414 621 634 828 951 1242 1268 1902 2484 2853 3804 5706 7291 8559 11412 14582 17118 21873 29164 34236 43746 65619 87492 131238 196857 262476 393714 787428