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258545940 = 22356316829
BaseRepresentation
bin11110110100100…
…01100100010100
3200000111111100120
433122101210110
51012141432230
641353311540
76256414152
oct1732214424
9600444316
10258545940
11122a40434
12727055b0
1341745483
14264a23d2
1517a71310
hexf691914

258545940 has 48 divisors (see below), whose sum is σ = 725182080. Its totient is φ = 68826240.

The previous prime is 258545897. The next prime is 258545957. The reversal of 258545940 is 49545852.

It is a junction number, because it is equal to n+sod(n) for n = 258545892 and 258545901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34446 + ... + 41274.

It is an arithmetic number, because the mean of its divisors is an integer number (15107960).

Almost surely, 2258545940 is an apocalyptic number.

258545940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258545940 is an abundant number, since it is smaller than the sum of its proper divisors (466636140).

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

258545940 is a wasteful number, since it uses less digits than its factorization.

258545940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7472 (or 7470 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 258545940 is about 16079.3637933844. The cubic root of 258545940 is about 637.0583915841.

The spelling of 258545940 in words is "two hundred fifty-eight million, five hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 631 1262 1893 2524 3155 3786 6310 6829 7572 9465 12620 13658 18930 20487 27316 34145 37860 40974 68290 81948 102435 136580 204870 409740 4309099 8618198 12927297 17236396 21545495 25854594 43090990 51709188 64636485 86181980 129272970 258545940