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800429904 = 243317108991
BaseRepresentation
bin101111101101011…
…001011101010000
32001210011001102000
4233231121131100
53114402224104
6211231554000
725556353611
oct5755313520
92053131360
10800429904
1138090491a
121a408b900
13c9aa3781
147843bc08
154a40e639
hex2fb59750

800429904 has 80 divisors (see below), whose sum is σ = 2432701440. Its totient is φ = 251112960.

The previous prime is 800429897. The next prime is 800429933. The reversal of 800429904 is 409924008.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47152 + ... + 61839.

It is an arithmetic number, because the mean of its divisors is an integer number (30408768).

Almost surely, 2800429904 is an apocalyptic number.

It is an amenable number.

800429904 is an abundant number, since it is smaller than the sum of its proper divisors (1632271536).

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

800429904 is a wasteful number, since it uses less digits than its factorization.

800429904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109025 (or 109013 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 800429904 is about 28291.8699275958. The cubic root of 800429904 is about 928.4840234123.

The spelling of 800429904 in words is "eight hundred million, four hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 108991 217982 326973 435964 653946 871928 980919 1307892 1743856 1852847 1961838 2615784 2942757 3705694 3923676 5231568 5558541 5885514 7411388 7847352 11117082 11771028 14822776 15694704 16675623 22234164 23542056 29645552 33351246 44468328 47084112 50026869 66702492 88936656 100053738 133404984 200107476 266809968 400214952 800429904