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52144020 = 22335611583
BaseRepresentation
bin1100011011101…
…0011110010100
310122010012011000
43012322132110
5101322102040
65101343300
71202134245
oct306723624
9118105130
1052144020
1127485635
1215567b30
13aa59266
146cd4ccc
1548a0130
hex31ba794

52144020 has 96 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 13668480.

The previous prime is 52143991. The next prime is 52144031. The reversal of 52144020 is 2044125.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52143984 and 52144002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32149 + ... + 33731.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 252144020 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 52144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

52144020 is an abundant number, since it is smaller than the sum of its proper divisors (112845420).

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

52144020 is a wasteful number, since it uses less digits than its factorization.

52144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 52144020 is about 7221.0816364309. The cubic root of 52144020 is about 373.5953853896.

Adding to 52144020 its reverse (2044125), we get a palindrome (54188145).

The spelling of 52144020 in words is "fifty-two million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1583 1647 1830 2196 2745 3166 3294 3660 4749 5490 6332 6588 7915 8235 9498 10980 14247 15830 16470 18996 23745 28494 31660 32940 42741 47490 56988 71235 85482 94980 96563 142470 170964 193126 213705 284940 289689 386252 427410 482815 579378 854820 869067 965630 1158756 1448445 1738134 1931260 2607201 2896890 3476268 4345335 5214402 5793780 8690670 10428804 13036005 17381340 26072010 52144020