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2427407540 = 225971916551
BaseRepresentation
bin1001000010101111…
…0100110010110100
320021011121002010222
42100223310302310
514432404020130
61040511433512
7114103423625
oct22053646264
96234532128
102427407540
111036232238
12578b25898
132c8b9392c
14190555a4c
15e318bce5
hex90af4cb4

2427407540 has 48 divisors (see below), whose sum is σ = 5177862144. Its totient is φ = 955776000.

The previous prime is 2427407537. The next prime is 2427407621. The reversal of 2427407540 is 457047242.

It is a self number, because there is not a number n which added to its sum of digits gives 2427407540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367265 + ... + 373815.

It is an arithmetic number, because the mean of its divisors is an integer number (107872128).

Almost surely, 22427407540 is an apocalyptic number.

2427407540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2427407540 is an abundant number, since it is smaller than the sum of its proper divisors (2750454604).

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

2427407540 is a wasteful number, since it uses less digits than its factorization.

2427407540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 35.

The square root of 2427407540 is about 49268.7278098390. The cubic root of 2427407540 is about 1343.9431525051.

The spelling of 2427407540 in words is "two billion, four hundred twenty-seven million, four hundred seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 97 191 194 382 388 485 764 955 970 1910 1940 3820 6551 13102 18527 26204 32755 37054 65510 74108 92635 131020 185270 370540 635447 1251241 1270894 2502482 2541788 3177235 5004964 6256205 6354470 12512410 12708940 25024820 121370377 242740754 485481508 606851885 1213703770 2427407540