Search a number
-
+
427211664 = 243115211553
BaseRepresentation
bin11001011101101…
…011101110010000
31002202212121020020
4121131223232100
51333331233124
6110220343440
713405145025
oct3135535620
91082777206
10427211664
111aa1714a0
12bb0a4b80
136a67b389
1440a4954c
152778b379
hex1976bb90

427211664 has 80 divisors (see below), whose sum is σ = 1207047744. Its totient is φ = 129126400.

The previous prime is 427211663. The next prime is 427211689. The reversal of 427211664 is 466112724.

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

It is not an unprimeable number, because it can be changed into a prime (427211663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274312 + ... + 275864.

Almost surely, 2427211664 is an apocalyptic number.

427211664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427211664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603523872).

427211664 is an abundant number, since it is smaller than the sum of its proper divisors (779836080).

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

427211664 is a wasteful number, since it uses less digits than its factorization.

427211664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2090 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 427211664 is about 20669.0992546845. The cubic root of 427211664 is about 753.1492255518.

The spelling of 427211664 in words is "four hundred twenty-seven million, two hundred eleven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 521 528 1042 1553 1563 2084 3106 3126 4168 4659 5731 6212 6252 8336 9318 11462 12424 12504 17083 17193 18636 22924 24848 25008 34166 34386 37272 45848 51249 68332 68772 74544 91696 102498 136664 137544 204996 273328 275088 409992 809113 819984 1618226 2427339 3236452 4854678 6472904 8900243 9709356 12945808 17800486 19418712 26700729 35600972 38837424 53401458 71201944 106802916 142403888 213605832 427211664