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469835472 = 243371371931
BaseRepresentation
bin11100000000010…
…001111011010000
31012202002010002210
4130000101323100
51430234213342
6114342112120
714433351501
oct3400217320
91182063083
10469835472
11221234387
1211141b640
1376453272
1446582ba8
152b3aa79c
hex1c011ed0

469835472 has 80 divisors (see below), whose sum is σ = 1256294592. Its totient is φ = 151188480.

The previous prime is 469835461. The next prime is 469835479. The reversal of 469835472 is 274538964.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469835479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242347 + ... + 244277.

Almost surely, 2469835472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469835472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628147296).

469835472 is an abundant number, since it is smaller than the sum of its proper divisors (786459120).

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

469835472 is a wasteful number, since it uses less digits than its factorization.

469835472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 469835472 is about 21675.6885011757. The cubic root of 469835472 is about 777.4072756052.

The spelling of 469835472 in words is "four hundred sixty-nine million, eight hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 137 148 222 274 296 411 444 548 592 822 888 1096 1644 1776 1931 2192 3288 3862 5069 5793 6576 7724 10138 11586 15207 15448 20276 23172 30414 30896 40552 46344 60828 71447 81104 92688 121656 142894 214341 243312 264547 285788 428682 529094 571576 793641 857364 1058188 1143152 1587282 1714728 2116376 3174564 3429456 4232752 6349128 9788239 12698256 19576478 29364717 39152956 58729434 78305912 117458868 156611824 234917736 469835472