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1375076896 = 252314912539
BaseRepresentation
bin101000111110110…
…0000001000100000
310112211110010212221
41101331200020200
510304004430041
6344240400424
746034650354
oct12175401040
93484403787
101375076896
11646216696
12324616114
1318bb6358b
14d08a5464
1580ac02d1
hex51f60220

1375076896 has 48 divisors (see below), whose sum is σ = 2844072000. Its totient is φ = 653179648.

The previous prime is 1375076881. The next prime is 1375076903. The reversal of 1375076896 is 6986705731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103395 + ... + 115933.

It is an arithmetic number, because the mean of its divisors is an integer number (59251500).

Almost surely, 21375076896 is an apocalyptic number.

1375076896 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 1375076896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422036000).

1375076896 is an abundant number, since it is smaller than the sum of its proper divisors (1468995104).

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

1375076896 is a wasteful number, since it uses less digits than its factorization.

1375076896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12721 (or 12713 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The square root of 1375076896 is about 37082.0292864347. The cubic root of 1375076896 is about 1112.0107740101.

The spelling of 1375076896 in words is "one billion, three hundred seventy-five million, seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 149 184 298 368 596 736 1192 2384 3427 4768 6854 12539 13708 25078 27416 50156 54832 100312 109664 200624 288397 401248 576794 1153588 1868311 2307176 3736622 4614352 7473244 9228704 14946488 29892976 42971153 59785952 85942306 171884612 343769224 687538448 1375076896