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52221824 = 2717103233
BaseRepresentation
bin1100011100110…
…1011110000000
310122021010212122
43013031132000
5101332044244
65103143412
71202610134
oct307153600
9118233778
1052221824
1127529036
12155a4b68
13aa857b5
146d153c4
1548b81ee
hex31cd780

52221824 has 64 divisors (see below), whose sum is σ = 111702240. Its totient is φ = 24231936.

The previous prime is 52221803. The next prime is 52221839. The reversal of 52221824 is 42812225.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 52221793 and 52221802.

It is a congruent number.

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, 224012 + ... + 224244.

Almost surely, 252221824 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 52221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55851120).

52221824 is an abundant number, since it is smaller than the sum of its proper divisors (59480416).

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

52221824 is a wasteful number, since it uses less digits than its factorization.

52221824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its digits is 2560, while the sum is 26.

The square root of 52221824 is about 7226.4669099083. The cubic root of 52221824 is about 373.7811067200.

The spelling of 52221824 in words is "fifty-two million, two hundred twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 103 128 136 206 233 272 412 466 544 824 932 1088 1648 1751 1864 2176 3296 3502 3728 3961 6592 7004 7456 7922 13184 14008 14912 15844 23999 28016 29824 31688 47998 56032 63376 95996 112064 126752 191992 224128 253504 383984 407983 507008 767968 815966 1535936 1631932 3071872 3263864 6527728 13055456 26110912 52221824