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52723104 = 2537671171
BaseRepresentation
bin1100100100011…
…1110110100000
310200012121111120
43021013312200
5101444114404
65122012240
71210065450
oct311076640
9120177446
1052723104
1127840715
12157a7080
13abcca05
147005d60
1549669d9
hex3247da0

52723104 has 96 divisors (see below), whose sum is σ = 160667136. Its totient is φ = 14826240.

The previous prime is 52723091. The next prime is 52723129. The reversal of 52723104 is 40132725.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44439 + ... + 45609.

It is an arithmetic number, because the mean of its divisors is an integer number (1673616).

Almost surely, 252723104 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 52723104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80333568).

52723104 is an abundant number, since it is smaller than the sum of its proper divisors (107944032).

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

52723104 is a wasteful number, since it uses less digits than its factorization.

52723104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 52723104 is about 7261.0676900853. The cubic root of 52723104 is about 374.9732816519.

Adding to 52723104 its reverse (40132725), we get a palindrome (92855829).

The spelling of 52723104 in words is "fifty-two million, seven hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 67 84 96 112 134 168 201 224 268 336 402 469 536 672 804 938 1072 1171 1407 1608 1876 2144 2342 2814 3216 3513 3752 4684 5628 6432 7026 7504 8197 9368 11256 14052 15008 16394 18736 22512 24591 28104 32788 37472 45024 49182 56208 65576 78457 98364 112416 131152 156914 196728 235371 262304 313828 393456 470742 549199 627656 786912 941484 1098398 1255312 1647597 1882968 2196796 2510624 3295194 3765936 4393592 6590388 7531872 8787184 13180776 17574368 26361552 52723104