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2427413157 = 331337311601
BaseRepresentation
bin1001000010101111…
…0110001010100101
320021011121100212000
42100223312022211
514432404210112
61040511515513
7114103446201
oct22053661245
96234540760
102427413157
111036236484
12578b28b99
132c8b96360
14190557b01
15e318d7dc
hex90af62a5

2427413157 has 64 divisors (see below), whose sum is σ = 3996894720. Its totient is φ = 1446336000.

The previous prime is 2427413147. The next prime is 2427413179. The reversal of 2427413157 is 7513147242.

It is not a de Polignac number, because 2427413157 - 24 = 2427413141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427413117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4038657 + ... + 4039257.

It is an arithmetic number, because the mean of its divisors is an integer number (62451480).

Almost surely, 22427413157 is an apocalyptic number.

2427413157 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2427413157 is a deficient number, since it is larger than the sum of its proper divisors (1569481563).

2427413157 is a wasteful number, since it uses less digits than its factorization.

2427413157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 965 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 2427413157 is about 49268.7848135105. The cubic root of 2427413157 is about 1343.9441891285.

The spelling of 2427413157 in words is "two billion, four hundred twenty-seven million, four hundred thirteen thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 27 37 39 111 117 311 333 351 481 601 933 999 1443 1803 2799 4043 4329 5409 7813 8397 11507 12129 12987 16227 22237 23439 34521 36387 66711 70317 103563 109161 149591 186911 200133 210951 289081 310689 448773 560733 600399 867243 1346319 1682199 2429843 2601729 4038957 5046597 6915707 7289529 7805187 20747121 21868587 62241363 65605761 89904191 186724089 269712573 809137719 2427413157