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249742452 = 2233743103127
BaseRepresentation
bin11101110001011…
…00010001110100
3122101221020020110
432320230101310
51002413224302
640440503020
76121530051
oct1670542164
9571836213
10249742452
11118a78223
126b77aa70
133c9823cb
1425250028
1516dd2b6c
hexee2c474

249742452 has 96 divisors (see below), whose sum is σ = 623214592. Its totient is φ = 77728896.

The previous prime is 249742447. The next prime is 249742469. The reversal of 249742452 is 254247942.

249742452 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

Its product of digits (161280) is a multiple of the sum of its prime divisors (315).

It is a self number, because there is not a number n which added to its sum of digits gives 249742452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1966413 + ... + 1966539.

Almost surely, 2249742452 is an apocalyptic number.

It is an amenable number.

249742452 is an abundant number, since it is smaller than the sum of its proper divisors (373472140).

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

249742452 is a wasteful number, since it uses less digits than its factorization.

249742452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 249742452 is about 15803.2418193230. The cubic root of 249742452 is about 629.7441238545.

The spelling of 249742452 in words is "two hundred forty-nine million, seven hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 37 43 74 86 103 111 127 129 148 172 206 222 254 258 309 381 412 444 508 516 618 762 1236 1524 1591 3182 3811 4429 4699 4773 5461 6364 7622 8858 9398 9546 10922 11433 13081 13287 14097 15244 16383 17716 18796 19092 21844 22866 26162 26574 28194 32766 39243 45732 52324 53148 56388 65532 78486 156972 163873 202057 327746 404114 483997 491619 562483 606171 655492 808228 967994 983238 1124966 1212342 1451991 1687449 1935988 1966476 2249932 2424684 2903982 3374898 5807964 6749796 20811871 41623742 62435613 83247484 124871226 249742452