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1452069828 = 223511672027
BaseRepresentation
bin101011010001100…
…1101001111000100
310202012022210100000
41112203031033010
510433212213303
6400030521300
750661250506
oct12643151704
93665283300
101452069828
11685723610
12346366230
131a1ab0021
14dabc7d76
158772cda3
hex568cd3c4

1452069828 has 144 divisors (see below), whose sum is σ = 4216552704. Its totient is φ = 433239840.

The previous prime is 1452069823. The next prime is 1452069859. The reversal of 1452069828 is 8289602541.

1452069828 is a `hidden beast` number, since 14 + 520 + 6 + 98 + 28 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1452069823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715351 + ... + 717377.

It is an arithmetic number, because the mean of its divisors is an integer number (29281616).

Almost surely, 21452069828 is an apocalyptic number.

1452069828 is a gapful number since it is divisible by the number (18) 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 1452069828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108276352).

1452069828 is an abundant number, since it is smaller than the sum of its proper divisors (2764482876).

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

1452069828 is a wasteful number, since it uses less digits than its factorization.

1452069828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1452069828 is about 38106.0340103769. The cubic root of 1452069828 is about 1132.3895002051.

It can be divided in two parts, 14520 and 69828, that added together give a palindrome (84348).

The spelling of 1452069828 in words is "one billion, four hundred fifty-two million, sixty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 81 99 108 132 134 162 198 201 243 268 297 324 396 402 486 594 603 737 804 891 972 1188 1206 1474 1782 1809 2027 2211 2412 2673 2948 3564 3618 4054 4422 5346 5427 6081 6633 7236 8108 8844 10692 10854 12162 13266 16281 18243 19899 21708 22297 24324 26532 32562 36486 39798 44594 54729 59697 65124 66891 72972 79596 89188 109458 119394 133782 135809 164187 179091 200673 218916 238788 267564 271618 328374 358182 401346 407427 492561 543236 602019 656748 716364 802692 814854 985122 1204038 1222281 1493899 1629708 1806057 1970244 2408076 2444562 2987798 3612114 3666843 4481697 4889124 5418171 5975596 7224228 7333686 8963394 10836342 11000529 13445091 14667372 17926788 21672684 22001058 26890182 33001587 40335273 44002116 53780364 66003174 80670546 121005819 132006348 161341092 242011638 363017457 484023276 726034914 1452069828