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51984036 = 223213277401
BaseRepresentation
bin1100011001001…
…1011010100100
310121211001200200
43012103122210
5101301442121
65054110500
71200566646
oct306233244
9117731620
1051984036
1127386415
12154ab430
13aa014b0
146c92896
15486ca26
hex31936a4

51984036 has 72 divisors (see below), whose sum is σ = 142377144. Its totient is φ = 15897600.

The previous prime is 51984029. The next prime is 51984041. The reversal of 51984036 is 63048915.

It can be written as a sum of positive squares in 4 ways, for example, as 6502500 + 45481536 = 2550^2 + 6744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129436 + ... + 129836.

Almost surely, 251984036 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 51984036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71188572).

51984036 is an abundant number, since it is smaller than the sum of its proper divisors (90393108).

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

51984036 is a wasteful number, since it uses less digits than its factorization.

51984036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 51984036 is about 7209.9955617185. The cubic root of 51984036 is about 373.2129157415.

The spelling of 51984036 in words is "fifty-one million, nine hundred eighty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 277 401 468 554 802 831 1108 1203 1604 1662 2406 2493 3324 3601 3609 4812 4986 5213 7202 7218 9972 10426 10803 14404 14436 15639 20852 21606 31278 32409 43212 46917 62556 64818 93834 111077 129636 187668 222154 333231 444308 666462 999693 1332924 1444001 1999386 2888002 3998772 4332003 5776004 8664006 12996009 17328012 25992018 51984036