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2829058428 = 2237191772593
BaseRepresentation
bin1010100010100000…
…0000000101111100
321022011101001120210
42220220000011330
521243214332203
61144420312420
7130051412520
oct25050000574
97264331523
102829058428
111221a25519
1266b542710
13361162791
141cba29d80
15118579803
hexa8a0017c

2829058428 has 48 divisors (see below), whose sum is σ = 7941221120. Its totient is φ = 765759744.

The previous prime is 2829058391. The next prime is 2829058429. The reversal of 2829058428 is 8248509282.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829058429) 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 15 ways as a sum of consecutive naturals, for example, 884701 + ... + 887892.

Almost surely, 22829058428 is an apocalyptic number.

2829058428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2829058428 is an abundant number, since it is smaller than the sum of its proper divisors (5112162692).

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

2829058428 is a wasteful number, since it uses less digits than its factorization.

2829058428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772626 (or 1772624 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 2829058428 is about 53188.8938407258. The cubic root of 2829058428 is about 1414.3187717549.

The spelling of 2829058428 in words is "two billion, eight hundred twenty-nine million, fifty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 1772593 3545186 5317779 7090372 10635558 12408151 21271116 24816302 33679267 37224453 49632604 67358534 74448906 101037801 134717068 148897812 202075602 235754869 404151204 471509738 707264607 943019476 1414529214 2829058428