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1381879552 = 283723943
BaseRepresentation
bin101001001011101…
…1100111100000000
310120022020202101011
41102113130330000
510312230121202
6345042250304
746146532234
oct12227347400
93508222334
101381879552
1164a042619
12326956994
131903a5a11
14d17565c4
15814b5bd7
hex525dcf00

1381879552 has 54 divisors (see below), whose sum is σ = 2835645288. Its totient is φ = 672095232.

The previous prime is 1381879531. The next prime is 1381879567. The reversal of 1381879552 is 2559781831.

It is a junction number, because it is equal to n+sod(n) for n = 1381879496 and 1381879505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 348493 + ... + 352435.

Almost surely, 21381879552 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 1381879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417822644).

1381879552 is an abundant number, since it is smaller than the sum of its proper divisors (1453765736).

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

1381879552 is an frugal number, since it uses more digits than its factorization.

1381879552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 3982 counting only the distinct ones).

The product of its digits is 604800, while the sum is 49.

The square root of 1381879552 is about 37173.6405534890. The cubic root of 1381879552 is about 1113.8415047404.

The spelling of 1381879552 in words is "one billion, three hundred eighty-one million, eight hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 1369 2368 2738 3943 4736 5476 7886 9472 10952 15772 21904 31544 43808 63088 87616 126176 145891 175232 252352 291782 350464 504704 583564 1009408 1167128 2334256 4668512 5397967 9337024 10795934 18674048 21591868 37348096 43183736 86367472 172734944 345469888 690939776 1381879552