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1452353040 = 243253975081
BaseRepresentation
bin101011010010001…
…0010011000010000
310202012212011211100
41112210102120100
510433300244130
6400040544400
750663540265
oct12644223020
93665764740
101452353040
116858a7376
12346482100
131a1b7bbc8
14dac5d26c
1587786c60
hex56912610

1452353040 has 120 divisors (see below), whose sum is σ = 4890733848. Its totient is φ = 386242560.

The previous prime is 1452352991. The next prime is 1452353047. The reversal of 1452353040 is 403532541.

It can be written as a sum of positive squares in 4 ways, for example, as 60466176 + 1391886864 = 7776^2 + 37308^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1452352995 and 1452353013.

It is not an unprimeable number, because it can be changed into a prime (1452353047) 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 23 ways as a sum of consecutive naturals, for example, 283300 + ... + 288380.

Almost surely, 21452353040 is an apocalyptic number.

1452353040 is a gapful number since it is divisible by the number (10) 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 1452353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445366924).

1452353040 is an abundant number, since it is smaller than the sum of its proper divisors (3438380808).

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

1452353040 is a wasteful number, since it uses less digits than its factorization.

1452353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1452353040 is about 38109.7499335800. The cubic root of 1452353040 is about 1132.4631159135.

Adding to 1452353040 its reverse (403532541), we get a palindrome (1855885581).

The spelling of 1452353040 in words is "one billion, four hundred fifty-two million, three hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 397 720 794 1191 1588 1985 2382 3176 3573 3970 4764 5081 5955 6352 7146 7940 9528 10162 11910 14292 15243 15880 17865 19056 20324 23820 25405 28584 30486 31760 35730 40648 45729 47640 50810 57168 60972 71460 76215 81296 91458 95280 101620 121944 142920 152430 182916 203240 228645 243888 285840 304860 365832 406480 457290 609720 731664 914580 1219440 1829160 2017157 3658320 4034314 6051471 8068628 10085785 12102942 16137256 18154413 20171570 24205884 30257355 32274512 36308826 40343140 48411768 60514710 72617652 80686280 90772065 96823536 121029420 145235304 161372560 181544130 242058840 290470608 363088260 484117680 726176520 1452353040