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830909450 = 252729711153
BaseRepresentation
bin110001100001101…
…010110000001010
32010220111120111002
4301201222300022
53200203100300
6214241135002
726406420350
oct6141526012
92126446432
10830909450
11397032628
121b232a462
131031b5ac7
147c4d37d0
154ce305d5
hex3186ac0a

830909450 has 96 divisors (see below), whose sum is σ = 1854524160. Its totient is φ = 270950400.

The previous prime is 830909447. The next prime is 830909467. The reversal of 830909450 is 54909038.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 720074 + ... + 721226.

It is an arithmetic number, because the mean of its divisors is an integer number (19317960).

Almost surely, 2830909450 is an apocalyptic number.

It is a pronic number, being equal to 28825×28826.

830909450 is an abundant number, since it is smaller than the sum of its proper divisors (1023614710).

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

830909450 is a wasteful number, since it uses less digits than its factorization.

830909450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 830909450 is about 28825.4999956636. The cubic root of 830909450 is about 940.1227582247.

The spelling of 830909450 in words is "eight hundred thirty million, nine hundred nine thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 29 35 50 58 70 71 142 145 175 203 290 350 355 406 497 710 725 994 1015 1153 1450 1775 2030 2059 2306 2485 3550 4118 4970 5075 5765 8071 10150 10295 11530 12425 14413 16142 20590 24850 28825 28826 33437 40355 51475 57650 66874 72065 80710 81863 102950 144130 163726 167185 201775 234059 334370 360325 403550 409315 468118 573041 720650 818630 835925 1146082 1170295 1671850 2046575 2340590 2374027 2865205 4093150 4748054 5730410 5851475 11702950 11870135 14326025 16618189 23740270 28652050 33236378 59350675 83090945 118701350 166181890 415454725 830909450