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421051712 = 2637269661
BaseRepresentation
bin11001000110001…
…011110101000000
31002100021122100212
4121012023311000
51330242123322
6105440333252
713301611004
oct3106136500
91070248325
10421051712
111a6744424
12b9014228
1369302633
143dcc4704
1526e710e2
hex1918bd40

421051712 has 56 divisors (see below), whose sum is σ = 862599240. Its totient is φ = 203765760.

The previous prime is 421051681. The next prime is 421051717. The reversal of 421051712 is 217150124.

It can be written as a sum of positive squares in 4 ways, for example, as 101929216 + 319122496 = 10096^2 + 17864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421051717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 636662 + ... + 637322.

Almost surely, 2421051712 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 421051712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431299620).

421051712 is an abundant number, since it is smaller than the sum of its proper divisors (441547528).

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

421051712 is a wasteful number, since it uses less digits than its factorization.

421051712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 421051712 is about 20519.5446343236. The cubic root of 421051712 is about 749.5118079232.

The spelling of 421051712 in words is "four hundred twenty-one million, fifty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 148 269 296 538 592 661 1076 1184 1322 2152 2368 2644 4304 5288 8608 9953 10576 17216 19906 21152 24457 39812 42304 48914 79624 97828 159248 177809 195656 318496 355618 391312 636992 711236 782624 1422472 1565248 2844944 5689888 6578933 11379776 13157866 26315732 52631464 105262928 210525856 421051712