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4000794252 = 2237135369127
BaseRepresentation
bin1110111001110111…
…0100011010001100
3101022211012101221220
43232131310122030
531143200404002
61500554523340
7201100122120
oct35635643214
911284171856
104000794252
111773386a34
12937a36550
134b9b3c0a0
1429d4bd580
151863807bc
hexee77468c

4000794252 has 96 divisors (see below), whose sum is σ = 11706412032. Its totient is φ = 1035230976.

The previous prime is 4000794211. The next prime is 4000794257. The reversal of 4000794252 is 2524970004.

It is not an unprimeable number, because it can be changed into a prime (4000794257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23313 + ... + 92439.

It is an arithmetic number, because the mean of its divisors is an integer number (121941792).

Almost surely, 24000794252 is an apocalyptic number.

4000794252 is a gapful number since it is divisible by the number (42) 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 4000794252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853206016).

4000794252 is an abundant number, since it is smaller than the sum of its proper divisors (7705617780).

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

4000794252 is a wasteful number, since it uses less digits than its factorization.

4000794252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69207 (or 69205 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4000794252 is about 63251.8320050890. The cubic root of 4000794252 is about 1587.5061113866.

The spelling of 4000794252 in words is "four billion, seven hundred ninety-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 53 78 84 91 106 156 159 182 212 273 318 364 371 546 636 689 742 1092 1113 1378 1484 2067 2226 2756 4134 4452 4823 8268 9646 14469 19292 28938 57876 69127 138254 207381 276508 414762 483889 829524 898651 967778 1451667 1797302 1935556 2695953 2903334 3594604 3663731 5391906 5806668 6290557 7327462 10783812 10991193 12581114 14654924 18871671 21982386 25162228 25646117 37743342 43964772 47628503 51292234 75486684 76938351 95257006 102584468 142885509 153876702 190514012 285771018 307753404 333399521 571542036 666799042 1000198563 1333598084 2000397126 4000794252