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4673233440 = 25345360589
BaseRepresentation
bin1000101101000101…
…11110001000100000
3110001200111212010000
410112202332020200
534032321432230
62051415340000
7223543554201
oct42642761040
913050455100
104673233440
111a88a114a7
12aa5081600
1359624b7b5
143249215a8
151c540bb60
hex1168be220

4673233440 has 120 divisors (see below), whose sum is σ = 16492665420. Its totient is φ = 1246192128.

The previous prime is 4673233399. The next prime is 4673233447. The reversal of 4673233440 is 443323764.

It can be written as a sum of positive squares in 2 ways, for example, as 4421186064 + 252047376 = 66492^2 + 15876^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×46732334402 = 43678221569468467200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4673233395 and 4673233404.

It is not an unprimeable number, because it can be changed into a prime (4673233447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 167335 + ... + 193254.

Almost surely, 24673233440 is an apocalyptic number.

4673233440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4673233440 is an abundant number, since it is smaller than the sum of its proper divisors (11819431980).

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

4673233440 is a wasteful number, since it uses less digits than its factorization.

4673233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360616 (or 360599 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The square root of 4673233440 is about 68361.0520691424. The cubic root of 4673233440 is about 1671.8827821643.

The spelling of 4673233440 in words is "four billion, six hundred seventy-three million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 360589 721178 1081767 1442356 1802945 2163534 2884712 3245301 3605890 4327068 5408835 5769424 6490602 7211780 8654136 9735903 10817670 11538848 12981204 14423560 16226505 17308272 19471806 21635340 25962408 28847120 29207709 32453010 34616544 38943612 43270680 48679515 51924816 57694240 58415418 64906020 77887224 86541360 97359030 103849632 116830836 129812040 146038545 155774448 173082720 194718060 233661672 259624080 292077090 311548896 389436120 467323344 519248160 584154180 778872240 934646688 1168308360 1557744480 2336616720 4673233440