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1379094552 = 2333113171831
BaseRepresentation
bin101001000110011…
…0101000000011000
310120010000021002000
41102030311000120
510311022011202
6344502441000
746114052553
oct12214650030
93503007060
101379094552
11648510170
12325a33160
1318c93c1a4
14d122d69a
158111591c
hex52335018

1379094552 has 128 divisors (see below), whose sum is σ = 4194547200. Its totient is φ = 416361600.

The previous prime is 1379094511. The next prime is 1379094569. The reversal of 1379094552 is 2554909731.

It is a happy number.

1379094552 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 0 + 94 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1379094498 and 1379094507.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 752277 + ... + 754107.

It is an arithmetic number, because the mean of its divisors is an integer number (32769900).

Almost surely, 21379094552 is an apocalyptic number.

1379094552 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 1379094552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097273600).

1379094552 is an abundant number, since it is smaller than the sum of its proper divisors (2815452648).

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

1379094552 is a wasteful number, since it uses less digits than its factorization.

1379094552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 1379094552 is about 37136.1623219201. The cubic root of 1379094552 is about 1113.0927335351.

The spelling of 1379094552 in words is "one billion, three hundred seventy-nine million, ninety-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 317 396 594 634 792 951 1188 1268 1831 1902 2376 2536 2853 3487 3662 3804 5493 5706 6974 7324 7608 8559 10461 10986 11412 13948 14648 16479 17118 20141 20922 21972 22824 27896 31383 32958 34236 40282 41844 43944 49437 60423 62766 65916 68472 80564 83688 94149 98874 120846 125532 131832 161128 181269 188298 197748 241692 251064 362538 376596 395496 483384 543807 580427 725076 753192 1087614 1160854 1450152 1741281 2175228 2321708 3482562 4350456 4643416 5223843 6384697 6965124 10447686 12769394 13930248 15671529 19154091 20895372 25538788 31343058 38308182 41790744 51077576 57462273 62686116 76616364 114924546 125372232 153232728 172386819 229849092 344773638 459698184 689547276 1379094552