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52837764 = 223731103197
BaseRepresentation
bin1100100110001…
…1110110000100
310200102102210020
43021203312010
5102011302024
65124255140
71211053650
oct311436604
9120372706
1052837764
1127909881
12158414b0
13ac3cc65
147035a60
15498a979
hex3263d84

52837764 has 96 divisors (see below), whose sum is σ = 147603456. Its totient is φ = 14394240.

The previous prime is 52837747. The next prime is 52837817. The reversal of 52837764 is 46773825.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 268114 + ... + 268310.

It is an arithmetic number, because the mean of its divisors is an integer number (1537536).

Almost surely, 252837764 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 52837764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73801728).

52837764 is an abundant number, since it is smaller than the sum of its proper divisors (94765692).

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

52837764 is a wasteful number, since it uses less digits than its factorization.

52837764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 52837764 is about 7268.9589350883. The cubic root of 52837764 is about 375.2449102380.

The spelling of 52837764 in words is "fifty-two million, eight hundred thirty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 103 124 186 197 206 217 309 372 394 412 434 591 618 651 721 788 868 1182 1236 1302 1379 1442 2163 2364 2604 2758 2884 3193 4137 4326 5516 6107 6386 8274 8652 9579 12214 12772 16548 18321 19158 20291 22351 24428 36642 38316 40582 42749 44702 60873 67053 73284 81164 85498 89404 121746 128247 134106 142037 170996 243492 256494 268212 284074 426111 512988 568148 629021 852222 1258042 1704444 1887063 2516084 3774126 4403147 7548252 8806294 13209441 17612588 26418882 52837764