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452081232 = 24322923733
BaseRepresentation
bin11010111100100…
…011011001010000
31011111200002212100
4122330203121100
51411213044412
6112505400400
714126425041
oct3274433120
91144602770
10452081232
11212208359
12107499100
13728780b5
14440808c8
1529a4eedc
hex1af23650

452081232 has 90 divisors (see below), whose sum is σ = 1310682542. Its totient is φ = 145458432.

The previous prime is 452081183. The next prime is 452081233. The reversal of 452081232 is 232180254.

It can be written as a sum of positive squares in 3 ways, for example, as 82519056 + 369562176 = 9084^2 + 19224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 452081196 and 452081205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452081233) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 119238 + ... + 122970.

Almost surely, 2452081232 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 452081232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655341271).

452081232 is an abundant number, since it is smaller than the sum of its proper divisors (858601310).

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

452081232 is a wasteful number, since it uses less digits than its factorization.

452081232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 452081232 is about 21262.2019555831. The cubic root of 452081232 is about 767.4889992658.

The spelling of 452081232 in words is "four hundred fifty-two million, eighty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 841 1044 1392 1682 2088 2523 3364 3733 4176 5046 6728 7466 7569 10092 11199 13456 14932 15138 20184 22398 29864 30276 33597 40368 44796 59728 60552 67194 89592 108257 121104 134388 179184 216514 268776 324771 433028 537552 649542 866056 974313 1299084 1732112 1948626 2598168 3139453 3897252 5196336 6278906 7794504 9418359 12557812 15589008 18836718 25115624 28255077 37673436 50231248 56510154 75346872 113020308 150693744 226040616 452081232