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469245960 = 23345144829
BaseRepresentation
bin11011111110000…
…010000000001000
31012200222011110000
4123332002000020
51430111332320
6114321323000
714425345011
oct3376020010
91180864400
10469245960
11220971487
12111196460
13762a7b41
144646c008
152b2e0c90
hex1bf82008

469245960 has 80 divisors (see below), whose sum is σ = 1577198700. Its totient is φ = 125131392.

The previous prime is 469245937. The next prime is 469245967. The reversal of 469245960 is 69542964.

It can be written as a sum of positive squares in 2 ways, for example, as 445800996 + 23444964 = 21114^2 + 4842^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (469245967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69175 + ... + 75654.

Almost surely, 2469245960 is an apocalyptic number.

469245960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

469245960 is an abundant number, since it is smaller than the sum of its proper divisors (1107952740).

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

469245960 is a wasteful number, since it uses less digits than its factorization.

469245960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144852 (or 144839 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 469245960 is about 21662.0857721504. The cubic root of 469245960 is about 777.0819966834.

The spelling of 469245960 in words is "four hundred sixty-nine million, two hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 144829 289658 434487 579316 724145 868974 1158632 1303461 1448290 1737948 2172435 2606922 2896580 3475896 3910383 4344870 5213844 5793160 6517305 7820766 8689740 10427688 11731149 13034610 15641532 17379480 19551915 23462298 26069220 31283064 39103830 46924596 52138440 58655745 78207660 93849192 117311490 156415320 234622980 469245960