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802689696 = 253323311303
BaseRepresentation
bin101111110110000…
…001001010100000
32001221101212021000
4233312001022200
53120442032241
6211352232000
725614515124
oct5766011240
92057355230
10802689696
11382108716
121a499b600
13ca3b5223
1478869584
154a708eb6
hex2fd812a0

802689696 has 192 divisors, whose sum is σ = 2523709440. Its totient is φ = 247484160.

The previous prime is 802689653. The next prime is 802689703. The reversal of 802689696 is 696986208.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615381 + ... + 616683.

It is an arithmetic number, because the mean of its divisors is an integer number (13144320).

Almost surely, 2802689696 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 802689696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261854720).

802689696 is an abundant number, since it is smaller than the sum of its proper divisors (1721019744).

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

802689696 is a wasteful number, since it uses less digits than its factorization.

802689696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 802689696 is about 28331.7789063800. The cubic root of 802689696 is about 929.3569748537.

The spelling of 802689696 in words is "eight hundred two million, six hundred eighty-nine thousand, six hundred ninety-six".