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1376938752 = 2837416247
BaseRepresentation
bin101001000010010…
…0110101100000000
310112221221201212120
41102010212230000
510304444020002
6344344324240
746056533460
oct12204465400
93487851776
101376938752
11647278512
12325173680
1318c365b77
14d0c2bba0
1580d3bcbc
hex52126b00

1376938752 has 144 divisors (see below), whose sum is σ = 4291026432. Its totient is φ = 383754240.

The previous prime is 1376938741. The next prime is 1376938753. The reversal of 1376938752 is 2578396731.

It is a junction number, because it is equal to n+sod(n) for n = 1376938695 and 1376938704.

It is not an unprimeable number, because it can be changed into a prime (1376938753) 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, 217293 + ... + 223539.

Almost surely, 21376938752 is an apocalyptic number.

1376938752 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 1376938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145513216).

1376938752 is an abundant number, since it is smaller than the sum of its proper divisors (2914087680).

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

1376938752 is an equidigital number, since it uses as much as digits as its factorization.

1376938752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314 (or 6300 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 1376938752 is about 37107.1253534951. The cubic root of 1376938752 is about 1112.5124356982.

The spelling of 1376938752 in words is "one billion, three hundred seventy-six million, nine hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 256 287 328 336 384 448 492 574 656 672 768 861 896 984 1148 1312 1344 1722 1792 1968 2296 2624 2688 3444 3936 4592 5248 5376 6247 6888 7872 9184 10496 12494 13776 15744 18368 18741 24988 27552 31488 36736 37482 43729 49976 55104 73472 74964 87458 99952 110208 131187 149928 174916 199904 220416 256127 262374 299856 349832 399808 512254 524748 599712 699664 768381 799616 1024508 1049496 1199424 1399328 1536762 1599232 1792889 2049016 2098992 2398848 2798656 3073524 3585778 4098032 4197984 4797696 5378667 5597312 6147048 7171556 8196064 8395968 10757334 11194624 12294096 14343112 16392128 16791936 21514668 24588192 28686224 32784256 33583872 43029336 49176384 57372448 65568512 86058672 98352768 114744896 172117344 196705536 229489792 344234688 458979584 688469376 1376938752