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482231040 = 2835314051
BaseRepresentation
bin11100101111100…
…100001100000000
31020121101212121220
4130233210030000
51441422343130
6115503515040
714643616254
oct3457441400
91217355556
10482231040
11228230355
121155b8a80
1378ba3315
144808c264
152c508410
hex1cbe4300

482231040 has 144 divisors (see below), whose sum is σ = 1590199296. Its totient is φ = 124416000.

The previous prime is 482231021. The next prime is 482231063. The reversal of 482231040 is 40132284.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 482231040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117015 + ... + 121065.

Almost surely, 2482231040 is an apocalyptic number.

482231040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795099648).

482231040 is an abundant number, since it is smaller than the sum of its proper divisors (1107968256).

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

482231040 is a wasteful number, since it uses less digits than its factorization.

482231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 482231040 is about 21959.7595615253. The cubic root of 482231040 is about 784.1847405823.

The spelling of 482231040 in words is "four hundred eighty-two million, two hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4051 4960 5952 7440 7936 8102 9920 11904 12153 14880 16204 19840 20255 23808 24306 29760 32408 39680 40510 48612 59520 60765 64816 81020 97224 119040 121530 125581 129632 162040 194448 243060 251162 259264 324080 376743 388896 486120 502324 518528 627905 648160 753486 777792 972240 1004648 1037056 1255810 1296320 1506972 1555584 1883715 1944480 2009296 2511620 2592640 3013944 3111168 3767430 3888960 4018592 5023240 5185280 6027888 7534860 7777920 8037184 10046480 12055776 15069720 15555840 16074368 20092960 24111552 30139440 32148736 40185920 48223104 60278880 80371840 96446208 120557760 160743680 241115520 482231040