Search a number
-
+
421949850 = 235273710861
BaseRepresentation
bin11001001001100…
…111000110011010
31002101222021101020
4121021213012122
51331004343400
6105511503310
713312341330
oct3111470632
91071867336
10421949850
111a71a8193
12b9387b36
136955838a
1440079b50
152709c2a0
hex1926719a

421949850 has 96 divisors (see below), whose sum is σ = 1228361856. Its totient is φ = 93830400.

The previous prime is 421949807. The next prime is 421949851. The reversal of 421949850 is 58949124.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (421949851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33420 + ... + 44280.

It is an arithmetic number, because the mean of its divisors is an integer number (12795436).

Almost surely, 2421949850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421949850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614180928).

421949850 is an abundant number, since it is smaller than the sum of its proper divisors (806412006).

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

421949850 is a wasteful number, since it uses less digits than its factorization.

421949850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10920 (or 10915 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 421949850 is about 20541.4179160057. The cubic root of 421949850 is about 750.0443529326.

The spelling of 421949850 in words is "four hundred twenty-one million, nine hundred forty-nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 37 42 50 70 74 75 105 111 150 175 185 210 222 259 350 370 518 525 555 777 925 1050 1110 1295 1554 1850 2590 2775 3885 5550 6475 7770 10861 12950 19425 21722 32583 38850 54305 65166 76027 108610 152054 162915 228081 271525 325830 380135 401857 456162 543050 760270 803714 814575 1140405 1205571 1629150 1900675 2009285 2280810 2411142 2812999 3801350 4018570 5625998 5702025 6027855 8438997 10046425 11404050 12055710 14064995 16877994 20092850 28129990 30139275 42194985 60278550 70324975 84389970 140649950 210974925 421949850