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4048134100 = 225283487727
BaseRepresentation
bin1111000101001001…
…1001111111010100
3101110010021112000121
43301102121333110
531242310242400
61505405321324
7202213400143
oct36122317724
911403245017
104048134100
11179808007a
1294b866244
134c68a572a
142a58c375a
1518a5d221a
hexf1499fd4

4048134100 has 36 divisors (see below), whose sum is σ = 8890305984. Its totient is φ = 1599741280.

The previous prime is 4048134089. The next prime is 4048134143. The reversal of 4048134100 is 14318404.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235564 + ... + 252163.

It is an arithmetic number, because the mean of its divisors is an integer number (246952944).

Almost surely, 24048134100 is an apocalyptic number.

It is an amenable number.

4048134100 is an abundant number, since it is smaller than the sum of its proper divisors (4842171884).

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

4048134100 is a wasteful number, since it uses less digits than its factorization.

4048134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487824 (or 487817 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4048134100 is about 63624.9487229656. The cubic root of 4048134100 is about 1593.7430242422.

The spelling of 4048134100 in words is "four billion, forty-eight million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 8300 487727 975454 1950908 2438635 4877270 9754540 12193175 24386350 40481341 48772700 80962682 161925364 202406705 404813410 809626820 1012033525 2024067050 4048134100