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52072704 = 283297233
BaseRepresentation
bin1100011010100…
…1000100000000
310121222120022200
43012221010000
5101312311304
65100033200
71201416315
oct306510400
9117876280
1052072704
1127436aa2
1215532800
13aa32968
146cb6d0c
154888e39
hex31a9100

52072704 has 108 divisors (see below), whose sum is σ = 152337276. Its totient is φ = 17104896.

The previous prime is 52072697. The next prime is 52072721. The reversal of 52072704 is 40727025.

52072704 is a `hidden beast` number, since 520 + 72 + 70 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16646400 + 35426304 = 4080^2 + 5952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223372 + ... + 223604.

Almost surely, 252072704 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 52072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76168638).

52072704 is an abundant number, since it is smaller than the sum of its proper divisors (100264572).

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

52072704 is a wasteful number, since it uses less digits than its factorization.

52072704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

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

The square root of 52072704 is about 7216.1419054783. The cubic root of 52072704 is about 373.4249888341.

Adding to 52072704 its reverse (40727025), we get a palindrome (92799729).

The spelling of 52072704 in words is "fifty-two million, seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 233 256 288 291 384 388 466 576 582 699 768 776 873 932 1152 1164 1398 1552 1746 1864 2097 2304 2328 2796 3104 3492 3728 4194 4656 5592 6208 6984 7456 8388 9312 11184 12416 13968 14912 16776 18624 22368 22601 24832 27936 29824 33552 37248 44736 45202 55872 59648 67104 67803 74496 89472 90404 111744 134208 135606 178944 180808 203409 223488 268416 271212 361616 406818 536832 542424 723232 813636 1084848 1446464 1627272 2169696 2892928 3254544 4339392 5785856 6509088 8678784 13018176 17357568 26036352 52072704