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1481047072 = 25173122833
BaseRepresentation
bin101100001000110…
…1111110000100000
310211012211222122021
41120101233300200
511013122001242
6402543551224
751462456331
oct13021576040
93735758567
101481047072
116a001564a
12353bbb514
131a7ab761b
141009ac288
158a053b67
hex5846fc20

1481047072 has 72 divisors (see below), whose sum is σ = 3191259708. Its totient is φ = 674242560.

The previous prime is 1481047039. The next prime is 1481047111. The reversal of 1481047072 is 2707401841.

It can be written as a sum of positive squares in 2 ways, for example, as 1468115856 + 12931216 = 38316^2 + 3596^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 521368 + ... + 524200.

Almost surely, 21481047072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481047072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595629854).

1481047072 is an abundant number, since it is smaller than the sum of its proper divisors (1710212636).

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

1481047072 is a wasteful number, since it uses less digits than its factorization.

1481047072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 1481047072 is about 38484.3743875355. The cubic root of 1481047072 is about 1139.8725290938.

The spelling of 1481047072 in words is "one billion, four hundred eighty-one million, forty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 961 992 1054 1922 2108 2833 3844 4216 5666 7688 8432 11332 15376 16337 16864 22664 30752 32674 45328 48161 65348 87823 90656 96322 130696 175646 192644 261392 351292 385288 522784 702584 770576 1405168 1492991 1541152 2722513 2810336 2985982 5445026 5971964 10890052 11943928 21780104 23887856 43560208 46282721 47775712 87120416 92565442 185130884 370261768 740523536 1481047072