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1375408992 = 253313712491
BaseRepresentation
bin101000111111011…
…0001001101100000
310112212002000102210
41101332301031200
510304101041432
6344251442120
746040532516
oct12176611540
93485060383
101375408992
11646423151
12324756340
1318bc4b799
14d09504b6
1580b388cc
hex51fb1360

1375408992 has 96 divisors (see below), whose sum is σ = 3827948544. Its totient is φ = 431654400.

The previous prime is 1375408973. The next prime is 1375409041. The reversal of 1375408992 is 2998045731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103867 + ... + 116357.

It is an arithmetic number, because the mean of its divisors is an integer number (39874464).

Almost surely, 21375408992 is an apocalyptic number.

1375408992 is a gapful number since it is divisible by the number (12) 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 1375408992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913974272).

1375408992 is an abundant number, since it is smaller than the sum of its proper divisors (2452539552).

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

1375408992 is a wasteful number, since it uses less digits than its factorization.

1375408992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12572 (or 12564 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 1375408992 is about 37086.5068724462. The cubic root of 1375408992 is about 1112.1002876961.

The spelling of 1375408992 in words is "one billion, three hundred seventy-five million, four hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 74 93 96 111 124 148 186 222 248 296 372 444 496 592 744 888 992 1147 1184 1488 1776 2294 2976 3441 3552 4588 6882 9176 12491 13764 18352 24982 27528 36704 37473 49964 55056 74946 99928 110112 149892 199856 299784 387221 399712 462167 599568 774442 924334 1161663 1199136 1386501 1548884 1848668 2323326 2773002 3097768 3697336 4646652 5546004 6195536 7394672 9293304 11092008 12391072 14327177 14789344 18586608 22184016 28654354 37173216 42981531 44368032 57308708 85963062 114617416 171926124 229234832 343852248 458469664 687704496 1375408992