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828672 = 2831383
BaseRepresentation
bin11001010010100000000
31120002201120
43022110000
5203004142
625432240
710020645
oct3122400
91502646
10828672
11516659
1233b680
13230250
14177dcc
151157ec
hexca500

828672 has 72 divisors (see below), whose sum is σ = 2403744. Its totient is φ = 251904.

The previous prime is 828649. The next prime is 828673. The reversal of 828672 is 276828.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828673) 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, 9943 + ... + 10025.

2828672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201872).

828672 is an abundant number, since it is smaller than the sum of its proper divisors (1575072).

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

828672 is a wasteful number, since it uses less digits than its factorization.

828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 828672 is about 910.3142314608. The cubic root of 828672 is about 93.9278154136.

It can be divided in two parts, 8 and 28672, that added together give a triangular number (28680 = T239).

The spelling of 828672 in words is "eight hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 128 156 166 192 208 249 256 312 332 384 416 498 624 664 768 832 996 1079 1248 1328 1664 1992 2158 2496 2656 3237 3328 3984 4316 4992 5312 6474 7968 8632 9984 10624 12948 15936 17264 21248 25896 31872 34528 51792 63744 69056 103584 138112 207168 276224 414336 828672