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1921252704 = 253710128307
BaseRepresentation
bin111001010000011…
…1111110101100000
311221220011202020120
41302200333311200
512413320041304
6514351040240
765416243560
oct16240776540
94856152216
101921252704
118a6551658
12457510080
13248065227
1414323ada0
15b3a0a0d9
hex7283fd60

1921252704 has 96 divisors (see below), whose sum is σ = 5821030656. Its totient is φ = 543475200.

The previous prime is 1921252667. The next prime is 1921252733. The reversal of 1921252704 is 4072521291.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 53719 + ... + 82025.

It is an arithmetic number, because the mean of its divisors is an integer number (60635736).

Almost surely, 21921252704 is an apocalyptic number.

1921252704 is a gapful number since it is divisible by the number (14) 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 1921252704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910515328).

1921252704 is an abundant number, since it is smaller than the sum of its proper divisors (3899777952).

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

1921252704 is a wasteful number, since it uses less digits than its factorization.

1921252704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28428 (or 28420 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1921252704 is about 43832.0967328737. The cubic root of 1921252704 is about 1243.1632521284.

Adding to 1921252704 its reverse (4072521291), we get a palindrome (5993773995).

The spelling of 1921252704 in words is "one billion, nine hundred twenty-one million, two hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4848 5656 8484 9696 11312 16968 22624 28307 33936 56614 67872 84921 113228 169842 198149 226456 339684 396298 452912 594447 679368 792596 905824 1188894 1358736 1585192 2377788 2717472 2859007 3170384 4755576 5718014 6340768 8577021 9511152 11436028 17154042 19022304 20013049 22872056 34308084 40026098 45744112 60039147 68616168 80052196 91488224 120078294 137232336 160104392 240156588 274464672 320208784 480313176 640417568 960626352 1921252704