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1358146896 = 243733471117
BaseRepresentation
bin101000011110011…
…1010110101010000
310111122121000021220
41100330322311100
510240141200041
6342433445040
745441025641
oct12074726520
93448530256
101358146896
11637702957
1231aa10780
131884b6622
14cc5396c8
157e378d66
hex50f3ad50

1358146896 has 80 divisors (see below), whose sum is σ = 3570051264. Its totient is φ = 444828672.

The previous prime is 1358146891. The next prime is 1358146913. The reversal of 1358146896 is 6986418531.

It is a super-2 number, since 2×13581468962 = 3689125982228869632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358146891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215330 + ... + 1216446.

Almost surely, 21358146896 is an apocalyptic number.

1358146896 is a gapful number since it is divisible by the number (16) 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 1358146896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785025632).

1358146896 is an abundant number, since it is smaller than the sum of its proper divisors (2211904368).

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

1358146896 is a wasteful number, since it uses less digits than its factorization.

1358146896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1542 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 1358146896 is about 36853.0445960710. The cubic root of 1358146896 is about 1107.4282087555.

The spelling of 1358146896 in words is "one billion, three hundred fifty-eight million, one hundred forty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 347 438 584 694 876 1041 1117 1168 1388 1752 2082 2234 2776 3351 3504 4164 4468 5552 6702 8328 8936 13404 16656 17872 25331 26808 50662 53616 75993 81541 101324 151986 163082 202648 244623 303972 326164 387599 405296 489246 607944 652328 775198 978492 1162797 1215888 1304656 1550396 1956984 2325594 3100792 3913968 4651188 6201584 9302376 18604752 28294727 56589454 84884181 113178908 169768362 226357816 339536724 452715632 679073448 1358146896