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420748350 = 2352111913421
BaseRepresentation
bin11001000101000…
…001110000111110
31002022201020020020
4121011001300332
51330202421400
6105430033010
713266205401
oct3105016076
91068636206
10420748350
111a6557510
12b8aa8766
1369227529
143dc45d38
1526e112a0
hex19141c3e

420748350 has 96 divisors (see below), whose sum is σ = 1198316160. Its totient is φ = 96624000.

The previous prime is 420748297. The next prime is 420748357. The reversal of 420748350 is 53847024.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420748357) 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 47 ways as a sum of consecutive naturals, for example, 24640 + ... + 38060.

It is an arithmetic number, because the mean of its divisors is an integer number (12482460).

Almost surely, 2420748350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420748350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599158080).

420748350 is an abundant number, since it is smaller than the sum of its proper divisors (777567810).

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

420748350 is a wasteful number, since it uses less digits than its factorization.

420748350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13466 (or 13461 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 420748350 is about 20512.1512767433. The cubic root of 420748350 is about 749.3317603401.

The spelling of 420748350 in words is "four hundred twenty million, seven hundred forty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 19 22 25 30 33 38 50 55 57 66 75 95 110 114 150 165 190 209 275 285 330 418 475 550 570 627 825 950 1045 1254 1425 1650 2090 2850 3135 5225 6270 10450 13421 15675 26842 31350 40263 67105 80526 134210 147631 201315 254999 295262 335525 402630 442893 509998 671050 738155 764997 885786 1006575 1274995 1476310 1529994 2013150 2214465 2549990 2804989 3690775 3824985 4428930 5609978 6374975 7381550 7649970 8414967 11072325 12749950 14024945 16829934 19124925 22144650 28049890 38249850 42074835 70124725 84149670 140249450 210374175 420748350