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421390968 = 233171922861
BaseRepresentation
bin11001000111011…
…110101001111000
31002100220212201220
4121013132221320
51330334002333
6105451512040
713304523045
oct3107365170
91070825656
10421390968
111a69562a9
12b9158620
13693c0b8b
143dd721cc
1526edb8b3
hex191dea78

421390968 has 96 divisors (see below), whose sum is σ = 1177655760. Its totient is φ = 125199360.

The previous prime is 421390943. The next prime is 421390993. The reversal of 421390968 is 869093124.

It is an interprime number because it is at equal distance from previous prime (421390943) and next prime (421390993).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145858 + ... + 148718.

Almost surely, 2421390968 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 421390968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588827880).

421390968 is an abundant number, since it is smaller than the sum of its proper divisors (756264792).

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

421390968 is a wasteful number, since it uses less digits than its factorization.

421390968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 421390968 is about 20527.8096249941. The cubic root of 421390968 is about 749.7130564541.

The spelling of 421390968 in words is "four hundred twenty-one million, three hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 361 408 456 646 722 969 1083 1292 1444 1938 2166 2584 2861 2888 3876 4332 5722 6137 7752 8583 8664 11444 12274 17166 18411 22888 24548 34332 36822 48637 49096 54359 68664 73644 97274 108718 145911 147288 163077 194548 217436 291822 326154 389096 434872 583644 652308 924103 1032821 1167288 1304616 1848206 2065642 2772309 3098463 3696412 4131284 5544618 6196926 7392824 8262568 11089236 12393852 17557957 22178472 24787704 35115914 52673871 70231828 105347742 140463656 210695484 421390968