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30626856 = 2333132839
BaseRepresentation
bin111010011010…
…1010000101000
32010122000011000
41310311100220
530320024411
63012235000
7521216061
oct164652050
963560130
1030626856
1116319457
12a30ba60
136464400
1440d3568
152a4e956
hex1d35428

30626856 has 96 divisors (see below), whose sum is σ = 92232000. Its totient is φ = 9412416.

The previous prime is 30626851. The next prime is 30626857. The reversal of 30626856 is 65862603.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30626856.

It is not an unprimeable number, because it can be changed into a prime (30626851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36085 + ... + 36923.

It is an arithmetic number, because the mean of its divisors is an integer number (960750).

Almost surely, 230626856 is an apocalyptic number.

30626856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30626856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46116000).

30626856 is an abundant number, since it is smaller than the sum of its proper divisors (61605144).

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

30626856 is a wasteful number, since it uses less digits than its factorization.

30626856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 30626856 is about 5534.1535938208. The cubic root of 30626856 is about 312.8725574798.

The spelling of 30626856 in words is "thirty million, six hundred twenty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 839 936 1014 1352 1404 1521 1678 2028 2517 2808 3042 3356 4056 4563 5034 6084 6712 7551 9126 10068 10907 12168 15102 18252 20136 21814 22653 30204 32721 36504 43628 45306 60408 65442 87256 90612 98163 130884 141791 181224 196326 261768 283582 294489 392652 425373 567164 588978 785304 850746 1134328 1177956 1276119 1701492 2355912 2552238 3402984 3828357 5104476 7656714 10208952 15313428 30626856