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2058696400 = 24525146741
BaseRepresentation
bin111101010110101…
…0011011011010000
312022110210121112211
41322231103123100
513204011241100
6540141001504
7102005426215
oct17255233320
95273717484
102058696400
11967098092
12495553294
1326a688b67
141575b7b0c
15c0b091ba
hex7ab536d0

2058696400 has 30 divisors (see below), whose sum is σ = 4946019062. Its totient is φ = 823478400.

The previous prime is 2058696389. The next prime is 2058696403. The reversal of 2058696400 is 46968502.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 137452176 + 1921244224 = 11724^2 + 43832^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2058696403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2572971 + ... + 2573770.

Almost surely, 22058696400 is an apocalyptic number.

2058696400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2058696400 is an abundant number, since it is smaller than the sum of its proper divisors (2887322662).

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

2058696400 is a wasteful number, since it uses less digits than its factorization.

2058696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146759 (or 5146748 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 2058696400 is about 45372.8597291376. The cubic root of 2058696400 is about 1272.1278730405.

The spelling of 2058696400 in words is "two billion, fifty-eight million, six hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5146741 10293482 20586964 25733705 41173928 51467410 82347856 102934820 128668525 205869640 257337050 411739280 514674100 1029348200 2058696400