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828150408 = 233211502089
BaseRepresentation
bin110001010111001…
…001001010001000
32010201022101210100
4301113021022020
53144001303113
6214102045400
726344106451
oct6127111210
92121271710
10828150408
11395518728
121b1419860
1310275b037
147bdb6128
154ca87d73
hex315c9288

828150408 has 24 divisors (see below), whose sum is σ = 2242907550. Its totient is φ = 276050112.

The previous prime is 828150403. The next prime is 828150439. The reversal of 828150408 is 804051828.

It can be written as a sum of positive squares in only one way, i.e., 827022564 + 1127844 = 28758^2 + 1062^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (828150403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5750973 + ... + 5751116.

Almost surely, 2828150408 is an apocalyptic number.

It is an amenable number.

828150408 is an abundant number, since it is smaller than the sum of its proper divisors (1414757142).

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

828150408 is a wasteful number, since it uses less digits than its factorization.

828150408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11502101 (or 11502094 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 828150408 is about 28777.6025408650. The cubic root of 828150408 is about 939.0810424529.

The spelling of 828150408 in words is "eight hundred twenty-eight million, one hundred fifty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 11502089 23004178 34506267 46008356 69012534 92016712 103518801 138025068 207037602 276050136 414075204 828150408