Search a number
-
+
2081008624 = 241715748731
BaseRepresentation
bin111110000001001…
…1010101111110000
312101000210012011111
41330002122233300
513230214233444
6542255123104
7102366165352
oct17402325760
95330705144
102081008624
11978747642
124a0b13494
1327219b866
1415a5450d2
15c2a65234
hex7c09abf0

2081008624 has 40 divisors (see below), whose sum is σ = 4296408048. Its totient is φ = 973040640.

The previous prime is 2081008583. The next prime is 2081008627. The reversal of 2081008624 is 4268001802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081008627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18339 + ... + 67069.

Almost surely, 22081008624 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 2081008624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148204024).

2081008624 is an abundant number, since it is smaller than the sum of its proper divisors (2215399424).

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

2081008624 is a wasteful number, since it uses less digits than its factorization.

2081008624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48913 (or 48907 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2081008624 is about 45618.0734358653. The cubic root of 2081008624 is about 1276.7071580650.

The spelling of 2081008624 in words is "two billion, eighty-one million, eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 157 272 314 628 1256 2512 2669 5338 10676 21352 42704 48731 97462 194924 389848 779696 828427 1656854 3313708 6627416 7650767 13254832 15301534 30603068 61206136 122412272 130063039 260126078 520252156 1040504312 2081008624