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1379695296 = 26372344633
BaseRepresentation
bin101001000111100…
…0111101011000000
310120011010210010210
41102033013223000
510311200222141
6344523354120
746122134160
oct12217075300
93504123123
101379695296
11648890551
12326082940
1318cabc765
14d13485a0
15811d3916
hex523c7ac0

1379695296 has 112 divisors (see below), whose sum is σ = 4353421824. Its totient is φ = 377051136.

The previous prime is 1379695277. The next prime is 1379695301. The reversal of 1379695296 is 6925969731.

It is a tau number, because it is divible by the number of its divisors (112).

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, 8596 + ... + 53228.

Almost surely, 21379695296 is an apocalyptic number.

1379695296 is a gapful number since it is divisible by the number (16) 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 1379695296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176710912).

1379695296 is an abundant number, since it is smaller than the sum of its proper divisors (2973726528).

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

1379695296 is a wasteful number, since it uses less digits than its factorization.

1379695296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44678 (or 44668 counting only the distinct ones).

The product of its digits is 5511240, while the sum is 57.

The square root of 1379695296 is about 37144.2498376263. The cubic root of 1379695296 is about 1113.2543339390.

The spelling of 1379695296 in words is "one billion, three hundred seventy-nine million, six hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 30912 44633 89266 133899 178532 267798 312431 357064 535596 624862 714128 937293 1026559 1071192 1249724 1428256 1874586 2053118 2142384 2499448 2856512 3079677 3749172 4106236 4284768 4998896 6159354 7185913 7498344 8212472 8569536 9997792 12318708 14371826 14996688 16424944 19995584 21557739 24637416 28743652 29993376 32849888 43115478 49274832 57487304 59986752 65699776 86230956 98549664 114974608 172461912 197099328 229949216 344923824 459898432 689847648 1379695296