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420055724 = 221119736883
BaseRepresentation
bin11001000010011…
…000101010101100
31002021102001010102
4121002120222230
51330013240344
6105403130232
713260262154
oct3102305254
91067361112
10420055724
111a61240a0
12b8813978
13690441aa
143db05764
1526d25e4e
hex19098aac

420055724 has 48 divisors (see below), whose sum is σ = 855818880. Its totient is φ = 178381440.

The previous prime is 420055721. The next prime is 420055747. The reversal of 420055724 is 427550024.

It is a happy number.

It is a super-2 number, since 2×4200557242 = 352893622530328352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420055721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57587 + ... + 64469.

It is an arithmetic number, because the mean of its divisors is an integer number (17829560).

Almost surely, 2420055724 is an apocalyptic number.

420055724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420055724 is an abundant number, since it is smaller than the sum of its proper divisors (435763156).

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

420055724 is a wasteful number, since it uses less digits than its factorization.

420055724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6990 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 420055724 is about 20495.2610132196. The cubic root of 420055724 is about 748.9203570925.

The spelling of 420055724 in words is "four hundred twenty million, fifty-five thousand, seven hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 73 76 146 209 292 418 803 836 1387 1606 2774 3212 5548 6883 13766 15257 27532 30514 61028 75713 130777 151426 261554 302852 502459 523108 1004918 1438547 2009836 2877094 5527049 5754188 9546721 11054098 19093442 22108196 38186884 105013931 210027862 420055724