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3842760100 = 225261992
BaseRepresentation
bin1110010100001011…
…1101110110100100
3100220210211102212011
43211002331312210
530332221310400
61433151404004
7164140631134
oct34502756644
910823742764
103842760100
1116a21575a3
128b2b23604
1349318935a
14286502ac4
151775658ba
hexe50bdda4

3842760100 has 27 divisors (see below), whose sum is σ = 8340134817. Its totient is φ = 1536856080.

The previous prime is 3842760083. The next prime is 3842760109. The reversal of 3842760100 is 10672483.

The square root of 3842760100 is 61990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1383393636 + 2459366464 = 37194^2 + 49592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3842760109) 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 8 ways as a sum of consecutive naturals, for example, 616801 + ... + 622999.

Almost surely, 23842760100 is an apocalyptic number.

3842760100 is the 61990-th square number.

It is an amenable number.

3842760100 is an abundant number, since it is smaller than the sum of its proper divisors (4497374717).

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

3842760100 is an frugal number, since it uses more digits than its factorization.

3842760100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12412 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The cubic root of 3842760100 is about 1566.3221550202.

The spelling of 3842760100 in words is "three billion, eight hundred forty-two million, seven hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6199 12398 24796 30995 61990 123980 154975 309950 619900 38427601 76855202 153710404 192138005 384276010 768552020 960690025 1921380050 3842760100