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1452680448 = 2837126641
BaseRepresentation
bin101011010010110…
…0010010100000000
310202020110210221120
41112211202110000
510433341233243
6400051552240
750666402652
oct12645422400
93666423846
101452680448
1168600035a
123465bb680
131a1c64c3b
14dad066d2
15877edc83
hex56962500

1452680448 has 72 divisors (see below), whose sum is σ = 3920849856. Its totient is φ = 477388800.

The previous prime is 1452680423. The next prime is 1452680497. The reversal of 1452680448 is 8440862541.

It is a super-2 number, since 2×14526804482 = 4220560968002961408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41208 + ... + 67848.

It is an arithmetic number, because the mean of its divisors is an integer number (54456248).

Almost surely, 21452680448 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 1452680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960424928).

1452680448 is an abundant number, since it is smaller than the sum of its proper divisors (2468169408).

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

1452680448 is an equidigital number, since it uses as much as digits as its factorization.

1452680448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26731 (or 26717 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 1452680448 is about 38114.0452851701. The cubic root of 1452680448 is about 1132.5482076268.

The spelling of 1452680448 in words is "one billion, four hundred fifty-two million, six hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 768 852 1136 1704 2272 3408 4544 6816 9088 13632 18176 26641 27264 53282 54528 79923 106564 159846 213128 319692 426256 639384 852512 1278768 1705024 1891511 2557536 3410048 3783022 5115072 5674533 6820096 7566044 10230144 11349066 15132088 20460288 22698132 30264176 45396264 60528352 90792528 121056704 181585056 242113408 363170112 484226816 726340224 1452680448