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421984458 = 23376118301
BaseRepresentation
bin11001001001101…
…111100011001010
31002102001000212000
4121021233203022
51331012000313
6105512331430
713312544250
oct3111574312
91072030760
10421984458
111a7221195
12b93a3b76
136956b05c
14400885d0
15270a7673
hex1926f8ca

421984458 has 64 divisors (see below), whose sum is σ = 1089335040. Its totient is φ = 118584000.

The previous prime is 421984439. The next prime is 421984501. The reversal of 421984458 is 854489124.

421984458 is a `hidden beast` number, since 4 + 2 + 198 + 4 + 458 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13908 + ... + 32208.

It is an arithmetic number, because the mean of its divisors is an integer number (17020860).

Almost surely, 2421984458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421984458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544667520).

421984458 is an abundant number, since it is smaller than the sum of its proper divisors (667350582).

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

421984458 is a wasteful number, since it uses less digits than its factorization.

421984458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18380 (or 18374 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 421984458 is about 20542.2602943298. The cubic root of 421984458 is about 750.0648583910.

It can be divided in two parts, 42198 and 4458, that added together give a 6-th power (46656 = 66).

The spelling of 421984458 in words is "four hundred twenty-one million, nine hundred eighty-four thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 366 378 427 549 854 1098 1281 1647 2562 3294 3843 7686 11529 18301 23058 36602 54903 109806 128107 164709 256214 329418 384321 494127 768642 988254 1116361 1152963 2232722 2305926 3349083 3458889 6698166 6917778 7814527 10047249 15629054 20094498 23443581 30141747 46887162 60283494 70330743 140661486 210992229 421984458