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481369240 = 235113135291
BaseRepresentation
bin11100101100010…
…001110010011000
31020112210002110101
4130230101302120
51441212303430
6115433225144
714633366602
oct3454216230
91215702411
10481369240
112277a1920
121152621b4
1378960c91
1447d06172
152c3d7dca
hex1cb11c98

481369240 has 64 divisors (see below), whose sum is σ = 1219691520. Its totient is φ = 169392000.

The previous prime is 481369201. The next prime is 481369241. The reversal of 481369240 is 42963184.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 481369240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481369241) 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 15 ways as a sum of consecutive naturals, for example, 4006 + ... + 31285.

It is an arithmetic number, because the mean of its divisors is an integer number (19057680).

Almost surely, 2481369240 is an apocalyptic number.

481369240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481369240 is an abundant number, since it is smaller than the sum of its proper divisors (738322280).

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

481369240 is a wasteful number, since it uses less digits than its factorization.

481369240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35344 (or 35340 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 481369240 is about 21940.1285319845. The cubic root of 481369240 is about 783.7173205173.

The spelling of 481369240 in words is "four hundred eighty-one million, three hundred sixty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 35291 70582 141164 176455 282328 352910 388201 705820 776402 1094021 1411640 1552804 1941005 2188042 3105608 3882010 4376084 5470105 7764020 8752168 10940210 12034231 15528040 21880420 24068462 43760840 48136924 60171155 96273848 120342310 240684620 481369240