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1375448490 = 2325131378581
BaseRepresentation
bin101000111111011…
…1010110110101010
310112212011000121200
41101332322312222
510304103322430
6344252345030
746041055623
oct12176726652
93485130550
101375448490
1164644a899
12324775176
1318bc63760
14d0960a4a
1580b45460
hex51fbadaa

1375448490 has 96 divisors (see below), whose sum is σ = 3879819216. Its totient is φ = 336061440.

The previous prime is 1375448483. The next prime is 1375448497. The reversal of 1375448490 is 948445731.

1375448490 is a `hidden beast` number, since 1 + 37 + 54 + 484 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (1375448483) and next prime (1375448497).

It can be written as a sum of positive squares in 8 ways, for example, as 43125489 + 1332323001 = 6567^2 + 36501^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1375448497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156000 + ... + 164580.

Almost surely, 21375448490 is an apocalyptic number.

1375448490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375448490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939909608).

1375448490 is an abundant number, since it is smaller than the sum of its proper divisors (2504370726).

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

1375448490 is a wasteful number, since it uses less digits than its factorization.

1375448490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1375448490 is about 37087.0393803550. The cubic root of 1375448490 is about 1112.1109330913.

The spelling of 1375448490 in words is "one billion, three hundred seventy-five million, four hundred forty-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 137 195 234 274 390 411 585 685 822 1170 1233 1370 1781 2055 2466 3562 4110 5343 6165 8581 8905 10686 12330 16029 17162 17810 25743 26715 32058 42905 51486 53430 77229 80145 85810 111553 128715 154458 160290 223106 257430 334659 386145 557765 669318 772290 1003977 1115530 1175597 1673295 2007954 2351194 3346590 3526791 5019885 5877985 7053582 10039770 10580373 11755970 15282761 17633955 21160746 30565522 35267910 45848283 52901865 76413805 91696566 105803730 137544849 152827610 229241415 275089698 458482830 687724245 1375448490