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452655672 = 233771137277
BaseRepresentation
bin11010111110101…
…111101000111000
31011112202021211220
4122332233220320
51411334440142
6112525552040
714134336560
oct3276575070
91145667756
10452655672
1121256a9a7
12107715620
1372a196c1
144418dda0
1529b152ec
hex1afafa38

452655672 has 128 divisors (see below), whose sum is σ = 1325859840. Its totient is φ = 126120960.

The previous prime is 452655653. The next prime is 452655673. The reversal of 452655672 is 276556254.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452655673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1633998 + ... + 1634274.

It is an arithmetic number, because the mean of its divisors is an integer number (10358280).

Almost surely, 2452655672 is an apocalyptic number.

452655672 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 452655672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662929920).

452655672 is an abundant number, since it is smaller than the sum of its proper divisors (873204168).

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

452655672 is a wasteful number, since it uses less digits than its factorization.

452655672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 497 counting only the distinct ones).

The product of its digits is 504000, while the sum is 42.

The square root of 452655672 is about 21275.7061457428. The cubic root of 452655672 is about 767.8139333316.

The spelling of 452655672 in words is "four hundred fifty-two million, six hundred fifty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 137 142 168 213 274 277 284 411 426 497 548 554 568 822 831 852 959 994 1096 1108 1491 1644 1662 1704 1918 1939 1988 2216 2877 2982 3288 3324 3836 3878 3976 5754 5817 5964 6648 7672 7756 9727 11508 11634 11928 15512 19454 19667 23016 23268 29181 37949 38908 39334 46536 58362 59001 68089 75898 77816 78668 113847 116724 118002 136178 137669 151796 157336 204267 227694 233448 236004 265643 272356 275338 303592 408534 413007 455388 472008 531286 544712 550676 796929 817068 826014 910776 1062572 1101352 1593858 1634136 1652028 2125144 2694379 3187716 3304056 5388758 6375432 8083137 10777516 16166274 18860653 21555032 32332548 37721306 56581959 64665096 75442612 113163918 150885224 226327836 452655672