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427673232 = 243273711467
BaseRepresentation
bin11001011111011…
…100011010010000
31002210202001101100
4121133130122100
51333441020412
6110234304400
713412106510
oct3137343220
91083661340
10427673232
111aa457258
12bb288100
136a7b04ac
1440b29840
152782cedc
hex197dc690

427673232 has 120 divisors (see below), whose sum is σ = 1404967616. Its totient is φ = 118879488.

The previous prime is 427673231. The next prime is 427673243. The reversal of 427673232 is 232376724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (427673231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31563 + ... + 43029.

Almost surely, 2427673232 is an apocalyptic number.

427673232 is a gapful number since it is divisible by the number (42) 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 427673232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702483808).

427673232 is an abundant number, since it is smaller than the sum of its proper divisors (977294384).

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

427673232 is a wasteful number, since it uses less digits than its factorization.

427673232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525 (or 11516 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 427673232 is about 20680.2618938929. The cubic root of 427673232 is about 753.4203670731.

The spelling of 427673232 in words is "four hundred twenty-seven million, six hundred seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1554 1776 2072 2331 2664 3108 4144 4662 5328 6216 9324 11467 12432 18648 22934 34401 37296 45868 68802 80269 91736 103203 137604 160538 183472 206406 240807 275208 321076 412812 424279 481614 550416 642152 722421 825624 848558 963228 1272837 1284304 1444842 1651248 1697116 1926456 2545674 2889684 2969953 3394232 3818511 3852912 5091348 5779368 5939906 6788464 7637022 8909859 10182696 11558736 11879812 15274044 17819718 20365392 23759624 26729577 30548088 35639436 47519248 53459154 61096176 71278872 106918308 142557744 213836616 427673232