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421649712 = 2435119859
BaseRepresentation
bin11001001000011…
…101110100110000
31002101102000200000
4121020131310300
51330420242322
6105501230000
713306651311
oct3110356460
91071360600
10421649712
111a7012740
12b9262300
1369481893
143dddc608
152703d3ac
hex1921dd30

421649712 has 120 divisors (see below), whose sum is σ = 1335122880. Its totient is φ = 127759680.

The previous prime is 421649707. The next prime is 421649741. The reversal of 421649712 is 217946124.

It is a happy number.

421649712 is a `hidden beast` number, since 4 + 2 + 1 + 649 + 7 + 1 + 2 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 37839 + ... + 47697.

It is an arithmetic number, because the mean of its divisors is an integer number (11126024).

Almost surely, 2421649712 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 421649712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667561440).

421649712 is an abundant number, since it is smaller than the sum of its proper divisors (913473168).

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

421649712 is a wasteful number, since it uses less digits than its factorization.

421649712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9893 (or 9875 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 421649712 is about 20534.1109376569. The cubic root of 421649712 is about 749.8664722285.

The spelling of 421649712 in words is "four hundred twenty-one million, six hundred forty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1584 1782 1944 2376 2673 3564 3888 4752 5346 7128 9859 10692 14256 19718 21384 29577 39436 42768 59154 78872 88731 108449 118308 157744 177462 216898 236616 266193 325347 354924 433796 473232 532386 650694 709848 798579 867592 976041 1064772 1301388 1419696 1597158 1735184 1952082 2129544 2395737 2602776 2928123 3194316 3904164 4259088 4791474 5205552 5856246 6388632 7808328 8784369 9582948 11712492 12777264 15616656 17568738 19165896 23424984 26353107 35137476 38331792 46849968 52706214 70274952 105412428 140549904 210824856 421649712