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52227072 = 210331889
BaseRepresentation
bin1100011100111…
…0110000000000
310122021102002000
43013032300000
5101332231242
65103224000
71202631342
oct307166000
9118242060
1052227072
1127531a77
12155a8000
13aa87cc1
146d17292
1548b9a4c
hex31cec00

52227072 has 88 divisors (see below), whose sum is σ = 154753200. Its totient is φ = 17399808.

The previous prime is 52227061. The next prime is 52227083. The reversal of 52227072 is 27072225.

It is a happy number.

52227072 is a `hidden beast` number, since 522 + 2 + 70 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (52227061) and next prime (52227083).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26704 + ... + 28592.

Almost surely, 252227072 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 52227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376600).

52227072 is an abundant number, since it is smaller than the sum of its proper divisors (102526128).

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

52227072 is a wasteful number, since it uses less digits than its factorization.

52227072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 52227072 is about 7226.8300104541. The cubic root of 52227072 is about 373.7936272678.

Adding to 52227072 its reverse (27072225), we get a palindrome (79299297).

The spelling of 52227072 in words is "fifty-two million, two hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 1889 2304 3072 3456 3778 4608 5667 6912 7556 9216 11334 13824 15112 17001 22668 27648 30224 34002 45336 51003 60448 68004 90672 102006 120896 136008 181344 204012 241792 272016 362688 408024 483584 544032 725376 816048 967168 1088064 1450752 1632096 1934336 2176128 2901504 3264192 4352256 5803008 6528384 8704512 13056768 17409024 26113536 52227072