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481497456 = 2431123311279
BaseRepresentation
bin11100101100110…
…001000101110000
31020120000121100010
4130230301011300
51441230404311
6115440054520
714634442446
oct3454610560
91216017303
10481497456
1122787a190
12115304440
13789a744b
1447d3ab96
152c410da6
hex1cb31170

481497456 has 160 divisors (see below), whose sum is σ = 1462763520. Its totient is φ = 134956800.

The previous prime is 481497451. The next prime is 481497503. The reversal of 481497456 is 654794184.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481497451) 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 31 ways as a sum of consecutive naturals, for example, 375825 + ... + 377103.

It is an arithmetic number, because the mean of its divisors is an integer number (9142272).

Almost surely, 2481497456 is an apocalyptic number.

481497456 is a gapful number since it is divisible by the number (46) 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 481497456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731381760).

481497456 is an abundant number, since it is smaller than the sum of its proper divisors (981266064).

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

481497456 is a wasteful number, since it uses less digits than its factorization.

481497456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1349 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 481497456 is about 21943.0502893285. The cubic root of 481497456 is about 783.7868971689.

The spelling of 481497456 in words is "four hundred eighty-one million, four hundred ninety-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 31 33 44 46 48 62 66 69 88 92 93 124 132 138 176 184 186 248 253 264 276 341 368 372 496 506 528 552 682 713 744 759 1012 1023 1104 1279 1364 1426 1488 1518 2024 2046 2139 2558 2728 2852 3036 3837 4048 4092 4278 5116 5456 5704 6072 7674 7843 8184 8556 10232 11408 12144 14069 15348 15686 16368 17112 20464 23529 28138 29417 30696 31372 34224 39649 42207 47058 56276 58834 61392 62744 79298 84414 88251 94116 112552 117668 118947 125488 158596 168828 176502 188232 225104 235336 237894 317192 323587 337656 353004 376464 436139 470672 475788 634384 647174 675312 706008 872278 911927 951576 970761 1294348 1308417 1412016 1744556 1823854 1903152 1941522 2588696 2616834 2735781 3489112 3647708 3883044 5177392 5233668 5471562 6978224 7295416 7766088 10031197 10467336 10943124 14590832 15532176 20062394 20934672 21886248 30093591 40124788 43772496 60187182 80249576 120374364 160499152 240748728 481497456