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2132444608 = 26710943669
BaseRepresentation
bin111111100011010…
…1000010111000000
312111121120102001221
41333012220113000
513331401211413
6551333404424
7103562323450
oct17706502700
95447512057
102132444608
119a4789218
124b6199714
1327ca3a758
141632d3d60
15c732568d
hex7f1a85c0

2132444608 has 56 divisors (see below), whose sum is σ = 4880559200. Its totient is φ = 905499648.

The previous prime is 2132444603. The next prime is 2132444621. The reversal of 2132444608 is 8064442312.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132444603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26998 + ... + 70666.

Almost surely, 22132444608 is an apocalyptic number.

2132444608 is a gapful number since it is divisible by the number (28) 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 2132444608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440279600).

2132444608 is an abundant number, since it is smaller than the sum of its proper divisors (2748114592).

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

2132444608 is a wasteful number, since it uses less digits than its factorization.

2132444608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43797 (or 43787 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 2132444608 is about 46178.3997990402. The cubic root of 2132444608 is about 1287.1403932127.

The spelling of 2132444608 in words is "two billion, one hundred thirty-two million, four hundred forty-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 763 872 1526 1744 3052 3488 6104 6976 12208 24416 43669 48832 87338 174676 305683 349352 611366 698704 1222732 1397408 2445464 2794816 4759921 4890928 9519842 9781856 19039684 19563712 33319447 38079368 66638894 76158736 133277788 152317472 266555576 304634944 533111152 1066222304 2132444608