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420471486 = 23413119813
BaseRepresentation
bin11001000011111…
…110001010111110
31002022012011110000
4121003332022332
51330120041421
6105420055130
713263643251
oct3103761276
91068164400
10420471486
111a63884a6
12b89944a6
136915b4c6
143dbb3098
1526da9226
hex190fe2be

420471486 has 40 divisors (see below), whose sum is σ = 949407624. Its totient is φ = 139080240.

The previous prime is 420471449. The next prime is 420471503. The reversal of 420471486 is 684174024.

It is a self number, because there is not a number n which added to its sum of digits gives 420471486.

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 19 ways as a sum of consecutive naturals, for example, 11316 + ... + 31128.

Almost surely, 2420471486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420471486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474703812).

420471486 is an abundant number, since it is smaller than the sum of its proper divisors (528936138).

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

420471486 is a wasteful number, since it uses less digits than its factorization.

420471486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19958 (or 19949 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 420471486 is about 20505.4013859763. The cubic root of 420471486 is about 749.1673639651.

It can be divided in two parts, 420 and 471486, that added together give a triangular number (471906 = T971).

The spelling of 420471486 in words is "four hundred twenty million, four hundred seventy-one thousand, four hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 262 393 786 1179 2358 3537 7074 10611 19813 21222 39626 59439 118878 178317 356634 534951 1069902 1604853 2595503 3209706 5191006 7786509 15573018 23359527 46719054 70078581 140157162 210235743 420471486