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474884240 = 24547532383
BaseRepresentation
bin11100010011100…
…010100010010000
31020002120121201012
4130103202202100
51433032243430
6115042230052
714524310105
oct3423424220
91202517635
10474884240
11224072616
12113055328
13775002bc
14470d8aac
152ba56695
hex1c4e2890

474884240 has 80 divisors (see below), whose sum is σ = 1149355008. Its totient is φ = 182327808.

The previous prime is 474884237. The next prime is 474884269. The reversal of 474884240 is 42488474.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 198089 + ... + 200471.

Almost surely, 2474884240 is an apocalyptic number.

474884240 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 474884240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574677504).

474884240 is an abundant number, since it is smaller than the sum of its proper divisors (674470768).

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

474884240 is a wasteful number, since it uses less digits than its factorization.

474884240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 41.

The square root of 474884240 is about 21791.8388393453. The cubic root of 474884240 is about 780.1819869028.

It can be divided in two parts, 4748 and 84240, that added together give a palindrome (88988).

The spelling of 474884240 in words is "four hundred seventy-four million, eight hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 53 80 94 106 188 212 235 265 376 424 470 530 752 848 940 1060 1880 2120 2383 2491 3760 4240 4766 4982 9532 9964 11915 12455 19064 19928 23830 24910 38128 39856 47660 49820 95320 99640 112001 126299 190640 199280 224002 252598 448004 505196 560005 631495 896008 1010392 1120010 1262990 1792016 2020784 2240020 2525980 4480040 5051960 5936053 8960080 10103920 11872106 23744212 29680265 47488424 59360530 94976848 118721060 237442120 474884240