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420189748 = 2211173118121
BaseRepresentation
bin11001000010111…
…001011000110100
31002021122211222021
4121002321120310
51330032032443
6105410042524
713261360666
oct3102713064
91067584867
10420189748
111a6205860
12b8879444
13690901b4
143db3c536
1526d509ed
hex190b9634

420189748 has 48 divisors (see below), whose sum is σ = 876814848. Its totient is φ = 173952000.

The previous prime is 420189743. The next prime is 420189761. The reversal of 420189748 is 847981024.

It is a Cunningham number, because it is equal to 7493-1.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14128 + ... + 32248.

It is an arithmetic number, because the mean of its divisors is an integer number (18266976).

Almost surely, 2420189748 is an apocalyptic number.

It is an amenable number.

420189748 is an abundant number, since it is smaller than the sum of its proper divisors (456625100).

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

420189748 is a wasteful number, since it uses less digits than its factorization.

420189748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18184 (or 18182 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 420189748 is about 20498.5303863472. The cubic root of 420189748 is about 748.9999994058. Note that the first 6 decimals are identical.

The spelling of 420189748 in words is "four hundred twenty million, one hundred eighty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 4 11 17 22 31 34 44 62 68 124 187 341 374 527 682 748 1054 1364 2108 5797 11594 18121 23188 36242 72484 199331 308057 398662 561751 616114 797324 1123502 1232228 2247004 3388627 6179261 6777254 9549767 12358522 13554508 19099534 24717044 38199068 105047437 210094874 420189748