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1377979744 = 251721091367
BaseRepresentation
bin101001000100010…
…0100110101100000
310120000220121211211
41102020210311200
510310230322434
6344422515504
746101430441
oct12210446540
93500817754
101377979744
11647919639
12325595b94
1318c63b93b
14d101d2c8
1580e95464
hex52224d60

1377979744 has 72 divisors (see below), whose sum is σ = 2910433680. Its totient is φ = 642041856.

The previous prime is 1377979741. The next prime is 1377979777. The reversal of 1377979744 is 4479797731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377979741) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1007349 + ... + 1008715.

It is an arithmetic number, because the mean of its divisors is an integer number (40422690).

Almost surely, 21377979744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377979744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455216840).

1377979744 is an abundant number, since it is smaller than the sum of its proper divisors (1532453936).

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

1377979744 is a wasteful number, since it uses less digits than its factorization.

1377979744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1495 counting only the distinct ones).

The product of its digits is 9335088, while the sum is 58.

The square root of 1377979744 is about 37121.1495511656. The cubic root of 1377979744 is about 1112.7927252932.

The spelling of 1377979744 in words is "one billion, three hundred seventy-seven million, nine hundred seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 109 136 218 272 289 436 544 578 872 1156 1367 1744 1853 2312 2734 3488 3706 4624 5468 7412 9248 10936 14824 21872 23239 29648 31501 43744 46478 59296 63002 92956 126004 149003 185912 252008 298006 371824 395063 504016 596012 743648 790126 1008032 1192024 1580252 2384048 2533051 3160504 4768096 5066102 6321008 10132204 12642016 20264408 40528816 43061867 81057632 86123734 172247468 344494936 688989872 1377979744