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52196256 = 25327171523
BaseRepresentation
bin1100011100011…
…1001110100000
310122012211210200
43013013032200
5101330240011
65102425200
71202442450
oct307071640
9118184720
1052196256
1127510902
1215592200
13aa76c78
146d09d60
1548b0856
hex31c73a0

52196256 has 144 divisors (see below), whose sum is σ = 179734464. Its totient is φ = 14026752.

The previous prime is 52196251. The next prime is 52196257. The reversal of 52196256 is 65269125.

52196256 is a `hidden beast` number, since 5 + 21 + 9 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 52196256.

It is not an unprimeable number, because it can be changed into a prime (52196251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33511 + ... + 35033.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 252196256 is an apocalyptic number.

52196256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52196256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89867232).

52196256 is an abundant number, since it is smaller than the sum of its proper divisors (127538208).

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

52196256 is a wasteful number, since it uses less digits than its factorization.

52196256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1552 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 52196256 is about 7224.6976407321. The cubic root of 52196256 is about 373.7200952199.

The spelling of 52196256 in words is "fifty-two million, one hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1523 1632 1904 2016 2142 2448 2856 3046 3808 4284 4569 4896 5712 6092 8568 9138 10661 11424 12184 13707 17136 18276 21322 24368 25891 27414 31983 34272 36552 42644 48736 51782 54828 63966 73104 77673 85288 95949 103564 109656 127932 146208 155346 170576 181237 191898 207128 219312 233019 255864 310692 341152 362474 383796 414256 438624 466038 511728 543711 621384 724948 767592 828512 932076 1023456 1087422 1242768 1449896 1535184 1631133 1864152 2174844 2485536 2899792 3070368 3262266 3728304 4349688 5799584 6524532 7456608 8699376 13049064 17398752 26098128 52196256