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830962528 = 25119724337
BaseRepresentation
bin110001100001110…
…111101101100000
32010220121021021221
4301201313231200
53200211300103
6214242224424
726410031164
oct6141675540
92126537257
10830962528
113970694a0
121b2355114
13103204006
147c508ca4
154ce411bd
hex31877b60

830962528 has 48 divisors (see below), whose sum is σ = 1803153744. Its totient is φ = 373800960.

The previous prime is 830962519. The next prime is 830962529. The reversal of 830962528 is 825269038.

830962528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830962529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21976 + ... + 46312.

It is an arithmetic number, because the mean of its divisors is an integer number (37565703).

Almost surely, 2830962528 is an apocalyptic number.

830962528 is a gapful number since it is divisible by the number (88) 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 830962528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901576872).

830962528 is an abundant number, since it is smaller than the sum of its proper divisors (972191216).

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

830962528 is a wasteful number, since it uses less digits than its factorization.

830962528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24455 (or 24447 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 830962528 is about 28826.4206588331. The cubic root of 830962528 is about 940.1427759588.

The spelling of 830962528 in words is "eight hundred thirty million, nine hundred sixty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 97 176 194 352 388 776 1067 1552 2134 3104 4268 8536 17072 24337 34144 48674 97348 194696 267707 389392 535414 778784 1070828 2141656 2360689 4283312 4721378 8566624 9442756 18885512 25967579 37771024 51935158 75542048 103870316 207740632 415481264 830962528