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1662117252 = 2232919924001
BaseRepresentation
bin110001100010001…
…1110010110000100
311021211120022020020
41203010132112010
511401000223002
6432532535140
756121522615
oct14304362604
94254508206
101662117252
11783249324
123a47814b0
13206474643
1411aa63c0c
159adbe2bc
hex6311e584

1662117252 has 48 divisors (see below), whose sum is σ = 4032336000. Its totient is φ = 532224000.

The previous prime is 1662117211. The next prime is 1662117277. The reversal of 1662117252 is 2527112661.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57252 + ... + 81252.

It is an arithmetic number, because the mean of its divisors is an integer number (84007000).

Almost surely, 21662117252 is an apocalyptic number.

1662117252 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 1662117252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016168000).

1662117252 is an abundant number, since it is smaller than the sum of its proper divisors (2370218748).

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

1662117252 is a wasteful number, since it uses less digits than its factorization.

1662117252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24236 (or 24234 counting only the distinct ones).

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

The square root of 1662117252 is about 40769.0722484581. The cubic root of 1662117252 is about 1184.5513329325.

The spelling of 1662117252 in words is "one billion, six hundred sixty-two million, one hundred seventeen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 199 348 398 597 796 1194 2388 5771 11542 17313 23084 24001 34626 48002 69252 72003 96004 144006 288012 696029 1392058 2088087 2784116 4176174 4776199 8352348 9552398 14328597 19104796 28657194 57314388 138509771 277019542 415529313 554039084 831058626 1662117252