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800075332 = 227219239341
BaseRepresentation
bin101111101100000…
…010111001000100
32001202111001000201
4233230002321010
53114304402312
6211220220244
725553346100
oct5754027104
92052431021
10800075332
11380692491
121a3b3a684
13c99ab274
1478388900
154a38e557
hex2fb02e44

800075332 has 72 divisors (see below), whose sum is σ = 1789179840. Its totient is φ = 310685760.

The previous prime is 800075323. The next prime is 800075363. The reversal of 800075332 is 233570008.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 800075332.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80982 + ... + 90322.

It is an arithmetic number, because the mean of its divisors is an integer number (24849720).

Almost surely, 2800075332 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 800075332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894589920).

800075332 is an abundant number, since it is smaller than the sum of its proper divisors (989104508).

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

800075332 is a wasteful number, since it uses less digits than its factorization.

800075332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9401 (or 9392 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 800075332 is about 28285.6029103146. The cubic root of 800075332 is about 928.3469041555.

The spelling of 800075332 in words is "eight hundred million, seventy-five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 23 28 38 46 49 76 92 98 133 161 196 266 322 437 532 644 874 931 1127 1748 1862 2254 3059 3724 4508 6118 9341 12236 18682 21413 37364 42826 65387 85652 130774 177479 214843 261548 354958 429686 457709 709916 859372 915418 1242353 1503901 1830836 2484706 3007802 4082017 4969412 6015604 8164034 8696471 10527307 16328068 17392942 21054614 28574119 34785884 42109228 57148238 114296476 200018833 400037666 800075332