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420189749 = 731073
BaseRepresentation
bin11001000010111…
…001011000110101
31002021122211222022
4121002321120311
51330032032444
6105410042525
713261361000
oct3102713065
91067584868
10420189749
111a6205861
12b8879445
13690901b5
143db3c537
1526d509ee
hex190b9635

420189749 has 16 divisors (see below), whose sum is σ = 494640000. Its totient is φ = 356796636.

The previous prime is 420189743. The next prime is 420189761. The reversal of 420189749 is 947981024.

The cubic root of 420189749 is 749.

It is a perfect power (a cube), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2k-420189749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420189743) 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, 3926954 + ... + 3927060.

It is an arithmetic number, because the mean of its divisors is an integer number (30915000).

Almost surely, 2420189749 is an apocalyptic number.

420189749 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

420189749 is a deficient number, since it is larger than the sum of its proper divisors (74450251).

420189749 is an frugal number, since it uses more digits than its factorization.

420189749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 420189749 is about 20498.5304107392.

The spelling of 420189749 in words is "four hundred twenty million, one hundred eighty-nine thousand, seven hundred forty-nine".

Divisors: 1 7 49 107 343 749 5243 11449 36701 80143 561001 1225043 3927007 8575301 60027107 420189749