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828758080 = 26523112603
BaseRepresentation
bin110001011001011…
…101100001000000
32010202110021100201
4301121131201000
53144130224310
6214123054544
726352220213
oct6131354100
92122407321
10828758080
113958a3237
121b1671454
131029117c7
147c0d377a
154cb57e3a
hex3165d840

828758080 has 56 divisors (see below), whose sum is σ = 2059301952. Its totient is φ = 317087232.

The previous prime is 828758069. The next prime is 828758081. The reversal of 828758080 is 80857828.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 828758080.

It is not an unprimeable number, because it can be changed into a prime (828758081) 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, 48942 + ... + 63661.

Almost surely, 2828758080 is an apocalyptic number.

828758080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828758080 is an abundant number, since it is smaller than the sum of its proper divisors (1230543872).

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

828758080 is a wasteful number, since it uses less digits than its factorization.

828758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112643 (or 112633 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 46.

The square root of 828758080 is about 28788.1586767893. The cubic root of 828758080 is about 939.3106761565.

The spelling of 828758080 in words is "eight hundred twenty-eight million, seven hundred fifty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 112603 225206 450412 563015 900824 1126030 1801648 2252060 2589869 3603296 4504120 5179738 7206592 9008240 10359476 12949345 18016480 20718952 25898690 36032960 41437904 51797380 82875808 103594760 165751616 207189520 414379040 828758080