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485451072 = 2632312877
BaseRepresentation
bin11100111011110…
…110010101000000
31020211110110200100
4130323312111000
51443233413242
6120100522400
715013160151
oct3473662500
91224413610
10485451072
1122a02a637
121166b0400
137975cb72
1448689928
152c94254c
hex1cef6540

485451072 has 126 divisors (see below), whose sum is σ = 1439430954. Its totient is φ = 156418560.

The previous prime is 485451061. The next prime is 485451079. The reversal of 485451072 is 270154584.

485451072 is a `hidden beast` number, since 4 + 8 + 545 + 107 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 465523776 + 19927296 = 21576^2 + 4464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485451079) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 553098 + ... + 553974.

Almost surely, 2485451072 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 485451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719715477).

485451072 is an abundant number, since it is smaller than the sum of its proper divisors (953979882).

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

485451072 is a wasteful number, since it uses less digits than its factorization.

485451072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 485451072 is about 22032.9542277017. The cubic root of 485451072 is about 785.9262988603.

The spelling of 485451072 in words is "four hundred eighty-five million, four hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 877 961 992 1116 1488 1754 1922 1984 2232 2631 2883 2976 3508 3844 4464 5262 5766 5952 7016 7688 7893 8649 8928 10524 11532 14032 15376 15786 17298 17856 21048 23064 27187 28064 30752 31572 34596 42096 46128 54374 56128 61504 63144 69192 81561 84192 92256 108748 126288 138384 163122 168384 184512 217496 244683 252576 276768 326244 434992 489366 505152 553536 652488 842797 869984 978732 1304976 1685594 1739968 1957464 2528391 2609952 3371188 3914928 5056782 5219904 6742376 7585173 7829856 10113564 13484752 15170346 15659712 20227128 26969504 30340692 40454256 53939008 60681384 80908512 121362768 161817024 242725536 485451072