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828040002 = 236712771613
BaseRepresentation
bin110001010110101…
…110001101000010
32010201002210100020
4301112232031002
53143434240002
6214055434310
726343136536
oct6126561502
92121083306
10828040002
11395452789
121b1385996
1310271c9ca
147bd87bc6
154ca652bc
hex315ae342

828040002 has 32 divisors (see below), whose sum is σ = 1683156672. Its totient is φ = 271512384.

The previous prime is 828039967. The next prime is 828040009. The reversal of 828040002 is 200040828.

It is not an unprimeable number, because it can be changed into a prime (828040009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512548 + ... + 514160.

It is an arithmetic number, because the mean of its divisors is an integer number (52598646).

Almost surely, 2828040002 is an apocalyptic number.

828040002 is an abundant number, since it is smaller than the sum of its proper divisors (855116670).

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

828040002 is a wasteful number, since it uses less digits than its factorization.

828040002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 828040002 is about 28775.6842142806. The cubic root of 828040002 is about 939.0393089753.

The spelling of 828040002 in words is "eight hundred twenty-eight million, forty thousand, two".

Divisors: 1 2 3 6 67 134 201 402 1277 1613 2554 3226 3831 4839 7662 9678 85559 108071 171118 216142 256677 324213 513354 648426 2059801 4119602 6179403 12358806 138006667 276013334 414020001 828040002