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1052962304 = 292937019
BaseRepresentation
bin111110110000101…
…110111000000000
32201101100000201212
4332300232320000
54124024243204
6252252345252
735044013642
oct7660567000
92641300655
101052962304
114a0408189
12254775228
1313a1c1a24
149dbb6892
1562693c6e
hex3ec2ee00

1052962304 has 40 divisors (see below), whose sum is σ = 2111349240. Its totient is φ = 524609536.

The previous prime is 1052962301. The next prime is 1052962307. The reversal of 1052962304 is 4032692501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1052962301) and next prime (1052962307).

It is a super-2 number, since 2×10529623042 = 2217459227289976832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052962301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146507 + ... + 153525.

It is an arithmetic number, because the mean of its divisors is an integer number (52783731).

Almost surely, 21052962304 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 1052962304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055674620).

1052962304 is an abundant number, since it is smaller than the sum of its proper divisors (1058386936).

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

1052962304 is an frugal number, since it uses more digits than its factorization.

1052962304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7330 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 1052962304 is about 32449.3806412387. The cubic root of 1052962304 is about 1017.3512926733.

The spelling of 1052962304 in words is "one billion, fifty-two million, nine hundred sixty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 293 512 586 1172 2344 4688 7019 9376 14038 18752 28076 37504 56152 75008 112304 150016 224608 449216 898432 1796864 2056567 3593728 4113134 8226268 16452536 32905072 65810144 131620288 263240576 526481152 1052962304