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484448040 = 23345149521
BaseRepresentation
bin11100111000000…
…001011100101000
31020202120111210000
4130320001130220
51443004314130
6120023223000
715001511646
oct3470013450
91222514700
10484448040
11229504a8a
121162a7a60
137949b45b
14484a8196
152c7e5260
hex1ce01728

484448040 has 80 divisors (see below), whose sum is σ = 1628294580. Its totient is φ = 129185280.

The previous prime is 484447991. The next prime is 484448051. The reversal of 484448040 is 40844484.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 459587844 + 24860196 = 21438^2 + 4986^2 .

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 = 484447986 and 484448004.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71521 + ... + 78000.

Almost surely, 2484448040 is an apocalyptic number.

484448040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

484448040 is an abundant number, since it is smaller than the sum of its proper divisors (1143846540).

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

484448040 is a wasteful number, since it uses less digits than its factorization.

484448040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149544 (or 149531 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 484448040 is about 22010.1803718189. The cubic root of 484448040 is about 785.3846357707.

The spelling of 484448040 in words is "four hundred eighty-four million, four hundred forty-eight thousand, forty".

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 149521 299042 448563 598084 747605 897126 1196168 1345689 1495210 1794252 2242815 2691378 2990420 3588504 4037067 4485630 5382756 5980840 6728445 8074134 8971260 10765512 12111201 13456890 16148268 17942520 20185335 24222402 26913780 32296536 40370670 48444804 53827560 60556005 80741340 96889608 121112010 161482680 242224020 484448040