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53502048 = 25322341197
BaseRepresentation
bin1100110000011…
…0000001100000
310201200012000100
43030012001200
5102144031143
65150422400
71216521435
oct314060140
9121605010
1053502048
1128222976
1215b01a00
13b113422
147169b8c
154a6c6d3
hex3306060

53502048 has 144 divisors (see below), whose sum is σ = 163459296. Its totient is φ = 16558080.

The previous prime is 53502047. The next prime is 53502061. The reversal of 53502048 is 84020535.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53502041) 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, 271486 + ... + 271682.

It is an arithmetic number, because the mean of its divisors is an integer number (1135134).

Almost surely, 253502048 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 53502048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81729648).

53502048 is an abundant number, since it is smaller than the sum of its proper divisors (109957248).

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

53502048 is a wasteful number, since it uses less digits than its factorization.

53502048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53502048 is about 7314.5094162220. The cubic root of 53502048 is about 376.8109102011.

It can be divided in two parts, 5 and 3502048, that added together give a palindrome (3502053).

The spelling of 53502048 in words is "fifty-three million, five hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 41 46 48 69 72 82 92 96 123 138 144 164 184 197 207 246 276 288 328 368 369 394 414 492 552 591 656 736 738 788 828 943 984 1104 1182 1312 1476 1576 1656 1773 1886 1968 2208 2364 2829 2952 3152 3312 3546 3772 3936 4531 4728 5658 5904 6304 6624 7092 7544 8077 8487 9062 9456 11316 11808 13593 14184 15088 16154 16974 18124 18912 22632 24231 27186 28368 30176 32308 33948 36248 40779 45264 48462 54372 56736 64616 67896 72496 72693 81558 90528 96924 108744 129232 135792 144992 145386 163116 185771 193848 217488 258464 271584 290772 326232 371542 387696 434976 557313 581544 652464 743084 775392 1114626 1163088 1304928 1486168 1671939 2229252 2326176 2972336 3343878 4458504 5944672 6687756 8917008 13375512 17834016 26751024 53502048