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428924808 = 23341359863
BaseRepresentation
bin11001100100001…
…101111110001000
31002220002122020000
4121210031332020
51334301043213
6110321203000
713425541434
oct3144157610
91086078200
10428924808
11200131614
12bb790460
136ab2b080
1440d739c4
15279c8c73
hex1990df88

428924808 has 160 divisors (see below), whose sum is σ = 1317254400. Its totient is φ = 129589632.

The previous prime is 428924803. The next prime is 428924833. The reversal of 428924808 is 808429824.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (428924803) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 496585 + ... + 497447.

It is an arithmetic number, because the mean of its divisors is an integer number (8232840).

Almost surely, 2428924808 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 428924808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658627200).

428924808 is an abundant number, since it is smaller than the sum of its proper divisors (888329592).

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

428924808 is a wasteful number, since it uses less digits than its factorization.

428924808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 428924808 is about 20710.4999456797. The cubic root of 428924808 is about 754.1546071567.

The spelling of 428924808 in words is "four hundred twenty-eight million, nine hundred twenty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 59 72 78 81 104 108 117 118 156 162 177 216 234 236 312 324 351 354 468 472 531 648 702 708 767 863 936 1053 1062 1404 1416 1534 1593 1726 2106 2124 2301 2589 2808 3068 3186 3452 4212 4248 4602 4779 5178 6136 6372 6903 6904 7767 8424 9204 9558 10356 11219 12744 13806 15534 18408 19116 20709 20712 22438 23301 27612 31068 33657 38232 41418 44876 46602 50917 55224 62127 62136 67314 69903 82836 89752 93204 100971 101834 124254 134628 139806 152751 165672 186408 201942 203668 248508 269256 279612 302913 305502 403884 407336 458253 497016 559224 605826 611004 661921 807768 908739 916506 1211652 1222008 1323842 1374759 1817478 1833012 1985763 2423304 2647684 2749518 3634956 3666024 3971526 4124277 5295368 5499036 5957289 7269912 7943052 8248554 10998072 11914578 15886104 16497108 17871867 23829156 32994216 35743734 47658312 53615601 71487468 107231202 142974936 214462404 428924808