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1029198296 = 23723881907
BaseRepresentation
bin111101010110000…
…101000111011000
32122201121200122102
4331112011013120
54101433321141
6250043142532
734335020060
oct7526050730
92581550572
101029198296
11488a56a05
12248814a48
131352c1299
149a98c3a0
156054c99b
hex3d5851d8

1029198296 has 64 divisors (see below), whose sum is σ = 2306465280. Its totient is φ = 420963840.

The previous prime is 1029198293. The next prime is 1029198299. The reversal of 1029198296 is 6928919201.

1029198296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1029198293) and next prime (1029198299).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1029198296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029198293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134275 + ... + 1135181.

It is an arithmetic number, because the mean of its divisors is an integer number (36038520).

Almost surely, 21029198296 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 1029198296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153232640).

1029198296 is an abundant number, since it is smaller than the sum of its proper divisors (1277266984).

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

1029198296 is a wasteful number, since it uses less digits than its factorization.

1029198296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 47.

The square root of 1029198296 is about 32081.1205539956. The cubic root of 1029198296 is about 1009.6395459163.

The spelling of 1029198296 in words is "one billion, twenty-nine million, one hundred ninety-eight thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 881 907 1288 1762 1814 3524 3628 6167 6349 7048 7256 12334 12698 20263 20861 24668 25396 40526 41722 49336 50792 81052 83444 141841 146027 162104 166888 283682 292054 567364 584108 799067 1134728 1168216 1598134 3196268 5593469 6392536 11186938 18378541 22373876 36757082 44747752 73514164 128649787 147028328 257299574 514599148 1029198296