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249023412 = 2232111771521
BaseRepresentation
bin11101101011111…
…00101110110100
3122100120200220100
432311330232310
51002222222122
640413234100
76112443531
oct1665745664
9570520810
10249023412
11118626a80
126b492930
133c790041
1425103d88
1516cdeaac
hexed7cbb4

249023412 has 144 divisors (see below), whose sum is σ = 738751104. Its totient is φ = 69888000.

The previous prime is 249023387. The next prime is 249023473. The reversal of 249023412 is 214320942.

249023412 is a `hidden beast` number, since 249 + 0 + 2 + 3 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477712 + ... + 478232.

It is an arithmetic number, because the mean of its divisors is an integer number (5130216).

Almost surely, 2249023412 is an apocalyptic number.

249023412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249023412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369375552).

249023412 is an abundant number, since it is smaller than the sum of its proper divisors (489727692).

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

249023412 is a wasteful number, since it uses less digits than its factorization.

249023412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 249023412 is about 15780.4756582303. The cubic root of 249023412 is about 629.1391720005.

The spelling of 249023412 in words is "two hundred forty-nine million, twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 71 99 102 132 142 153 187 198 204 213 284 306 374 396 426 521 561 612 639 748 781 852 1042 1122 1207 1278 1562 1563 1683 2084 2244 2343 2414 2556 3124 3126 3366 3621 4686 4689 4828 5731 6252 6732 7029 7242 8857 9372 9378 10863 11462 13277 14058 14484 17193 17714 18756 21726 22924 26554 26571 28116 34386 35428 36991 39831 43452 51579 53108 53142 68772 73982 79662 79713 97427 103158 106284 110973 119493 147964 159324 159426 194854 206316 221946 238986 292281 318852 332919 389708 406901 443892 477972 584562 628847 665838 813802 876843 1169124 1220703 1257694 1331676 1627604 1753686 1886541 2441406 2515388 3507372 3662109 3773082 4882812 5659623 6917317 7324218 7546164 11319246 13834634 14648436 20751951 22638492 27669268 41503902 62255853 83007804 124511706 249023412