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2081826152 = 23731933931
BaseRepresentation
bin111110000010110…
…0010010101101000
312101002022201121022
41330011202111220
513230421414102
6542324432012
7102406142000
oct17405422550
95332281538
102081826152
1197915588a
124a1248608
132723c69c3
1415a6b9000
15c2b775a2
hex7c162568

2081826152 has 64 divisors (see below), whose sum is σ = 4576848000. Its totient is φ = 887362560.

The previous prime is 2081826101. The next prime is 2081826199. The reversal of 2081826152 is 2516281802.

It is a happy number.

It is a super-2 number, since 2×20818261522 = 8668000254302254208, which contains 22 as substring.

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, 527627 + ... + 531557.

It is an arithmetic number, because the mean of its divisors is an integer number (71513250).

Almost surely, 22081826152 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 2081826152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288424000).

2081826152 is an abundant number, since it is smaller than the sum of its proper divisors (2495021848).

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

2081826152 is a wasteful number, since it uses less digits than its factorization.

2081826152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 2081826152 is about 45627.0331273029. The cubic root of 2081826152 is about 1276.8743217484.

The spelling of 2081826152 in words is "two billion, eighty-one million, eight hundred twenty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 193 196 343 386 392 686 772 1351 1372 1544 2702 2744 3931 5404 7862 9457 10808 15724 18914 27517 31448 37828 55034 66199 75656 110068 132398 192619 220136 264796 385238 529592 758683 770476 1348333 1517366 1540952 2696666 3034732 5310781 5393332 6069464 10621562 10786664 21243124 37175467 42486248 74350934 148701868 260228269 297403736 520456538 1040913076 2081826152