Search a number
-
+
52192512 = 2835839
BaseRepresentation
bin1100011100011…
…0010100000000
310122012122200000
43013012110000
5101330130022
65102400000
71202425521
oct307062400
9118178600
1052192512
1127509009
1215590000
13aa75358
146d08848
1548ae6ac
hex31c6500

52192512 has 108 divisors (see below), whose sum is σ = 156243360. Its totient is φ = 17376768.

The previous prime is 52192507. The next prime is 52192523. The reversal of 52192512 is 21529125.

52192512 is a `hidden beast` number, since 521 + 92 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

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, 61789 + ... + 62627.

Almost surely, 252192512 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 52192512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78121680).

52192512 is an abundant number, since it is smaller than the sum of its proper divisors (104050848).

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

52192512 is an frugal number, since it uses more digits than its factorization.

52192512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 844 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 52192512 is about 7224.4385248959. The cubic root of 52192512 is about 373.7111594482.

The spelling of 52192512 in words is "fifty-two million, one hundred ninety-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 839 864 972 1152 1296 1678 1728 1944 2304 2517 2592 3356 3456 3888 5034 5184 6712 6912 7551 7776 10068 10368 13424 15102 15552 20136 20736 22653 26848 30204 31104 40272 45306 53696 60408 62208 67959 80544 90612 107392 120816 135918 161088 181224 203877 214784 241632 271836 322176 362448 407754 483264 543672 644352 724896 815508 966528 1087344 1449792 1631016 1933056 2174688 2899584 3262032 4349376 5799168 6524064 8698752 13048128 17397504 26096256 52192512