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421282624 = 2672573659
BaseRepresentation
bin11001000111000…
…100001101000000
31002100201101010011
4121013010031000
51330322020444
6105445314304
713303562140
oct3107041500
91070641104
10421282624
111a6891964
12b9105994
1369383779
143dd44920
1526eb9734
hex191c4340

421282624 has 56 divisors (see below), whose sum is σ = 959388480. Its totient is φ = 179798016.

The previous prime is 421282621. The next prime is 421282643. The reversal of 421282624 is 426282124.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421282621) 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, 113307 + ... + 116965.

Almost surely, 2421282624 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 421282624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479694240).

421282624 is an abundant number, since it is smaller than the sum of its proper divisors (538105856).

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

421282624 is a wasteful number, since it uses less digits than its factorization.

421282624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3925 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

The square root of 421282624 is about 20525.1704986828. The cubic root of 421282624 is about 749.6487979389.

The spelling of 421282624 in words is "four hundred twenty-one million, two hundred eighty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 257 448 514 1028 1799 2056 3598 3659 4112 7196 7318 8224 14392 14636 16448 25613 28784 29272 51226 57568 58544 102452 115136 117088 204904 234176 409808 819616 940363 1639232 1880726 3761452 6582541 7522904 13165082 15045808 26330164 30091616 52660328 60183232 105320656 210641312 421282624