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420412148 = 22138990841
BaseRepresentation
bin11001000011101…
…111101011110100
31002022002011001022
4121003233223310
51330111142043
6105414520312
713263305252
oct3103575364
91068064038
10420412148
111a6347962
12b8966098
136913a4b0
143db995d2
1526d96868
hex190efaf4

420412148 has 24 divisors (see below), whose sum is σ = 801226440. Its totient is φ = 191854080.

The previous prime is 420412117. The next prime is 420412163. The reversal of 420412148 is 841214024.

It can be written as a sum of positive squares in 4 ways, for example, as 43586404 + 376825744 = 6602^2 + 19412^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40793 + ... + 50048.

It is an arithmetic number, because the mean of its divisors is an integer number (33384435).

Almost surely, 2420412148 is an apocalyptic number.

It is an amenable number.

420412148 is a deficient number, since it is larger than the sum of its proper divisors (380814292).

420412148 is a wasteful number, since it uses less digits than its factorization.

420412148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90947 (or 90945 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 420412148 is about 20503.9544478620. The cubic root of 420412148 is about 749.1321208425.

The spelling of 420412148 in words is "four hundred twenty million, four hundred twelve thousand, one hundred forty-eight".

Divisors: 1 2 4 13 26 52 89 178 356 1157 2314 4628 90841 181682 363364 1180933 2361866 4723732 8084849 16169698 32339396 105103037 210206074 420412148