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6256728 = 2332671297
BaseRepresentation
bin10111110111100001011000
3102202212121200
4113313201120
53100203403
6342034200
7104116122
oct27674130
912685550
106256728
113593855
122118960
1313b0b0a
14b8c212
15838ca3
hex5f7858

6256728 has 48 divisors (see below), whose sum is σ = 17211480. Its totient is φ = 2052864.

The previous prime is 6256727. The next prime is 6256729. The reversal of 6256728 is 8276526.

6256728 is a `hidden beast` number, since 625 + 6 + 7 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (6256727) and next prime (6256729).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6256692 and 6256701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6256727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4176 + ... + 5472.

Almost surely, 26256728 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 6256728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605740).

6256728 is an abundant number, since it is smaller than the sum of its proper divisors (10954752).

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

6256728 is a wasteful number, since it uses less digits than its factorization.

6256728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1369 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 6256728 is about 2501.3452380669. The cubic root of 6256728 is about 184.2676476662.

The spelling of 6256728 in words is "six million, two hundred fifty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1297 1608 2412 2594 3891 4824 5188 7782 10376 11673 15564 23346 31128 46692 86899 93384 173798 260697 347596 521394 695192 782091 1042788 1564182 2085576 3128364 6256728