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420424488 = 2332113714347
BaseRepresentation
bin11001000011110…
…010101100101000
31002022002202222100
4121003302230220
51330112040423
6105415053400
713263356241
oct3103625450
91068082870
10420424488
111a6356160
12b8971260
1369142cb3
143db9dcc8
1526d9a343
hex190f2b28

420424488 has 96 divisors (see below), whose sum is σ = 1275824160. Its totient is φ = 123949440.

The previous prime is 420424469. The next prime is 420424559. The reversal of 420424488 is 884424024.

420424488 is a `hidden beast` number, since 4 + 204 + 2 + 448 + 8 = 666.

It is a super-2 number, since 2×4204244882 = 353513500220124288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 22131 + ... + 36477.

It is an arithmetic number, because the mean of its divisors is an integer number (13289835).

Almost surely, 2420424488 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 420424488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637912080).

420424488 is an abundant number, since it is smaller than the sum of its proper divisors (855399672).

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

420424488 is a wasteful number, since it uses less digits than its factorization.

420424488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14407 (or 14400 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 420424488 is about 20504.2553632167. The cubic root of 420424488 is about 749.1394503166.

The spelling of 420424488 in words is "four hundred twenty million, four hundred twenty-four thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 132 148 198 222 264 296 333 396 407 444 666 792 814 888 1221 1332 1628 2442 2664 3256 3663 4884 7326 9768 14347 14652 28694 29304 43041 57388 86082 114776 129123 157817 172164 258246 315634 344328 473451 516492 530839 631268 946902 1032984 1061678 1262536 1420353 1592517 1893804 2123356 2840706 3185034 3787608 4246712 4777551 5681412 5839229 6370068 9555102 11362824 11678458 12740136 17517687 19110204 23356916 35035374 38220408 46713832 52553061 70070748 105106122 140141496 210212244 420424488