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52539648 = 283729337
BaseRepresentation
bin1100100001101…
…1000100000000
310122212021211220
43020123010000
5101422232043
65114035040
71205402550
oct310330400
9118767756
1052539648
11277258a7
1215718a80
13ab67365
146d99160
15492c483
hex321b100

52539648 has 144 divisors (see below), whose sum is σ = 165809280. Its totient is φ = 14450688.

The previous prime is 52539631. The next prime is 52539649. The reversal of 52539648 is 84693525.

It is a super-2 number, since 2×525396482 = 5520829223927808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52539649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155736 + ... + 156072.

Almost surely, 252539648 is an apocalyptic number.

52539648 is a gapful number since it is divisible by the number (58) 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 52539648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82904640).

52539648 is an abundant number, since it is smaller than the sum of its proper divisors (113269632).

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

52539648 is a wasteful number, since it uses less digits than its factorization.

52539648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 52539648 is about 7248.4238286679. The cubic root of 52539648 is about 374.5378555830.

The spelling of 52539648 in words is "fifty-two million, five hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 337 348 384 406 448 464 609 672 674 696 768 812 896 928 1011 1218 1344 1348 1392 1624 1792 1856 2022 2359 2436 2688 2696 2784 3248 3712 4044 4718 4872 5376 5392 5568 6496 7077 7424 8088 9436 9744 9773 10784 11136 12992 14154 16176 18872 19488 19546 21568 22272 25984 28308 29319 32352 37744 38976 39092 43136 51968 56616 58638 64704 68411 75488 77952 78184 86272 113232 117276 129408 136822 150976 155904 156368 205233 226464 234552 258816 273644 301952 312736 410466 452928 469104 547288 603904 625472 820932 905856 938208 1094576 1250944 1641864 1811712 1876416 2189152 2501888 3283728 3752832 4378304 6567456 7505664 8756608 13134912 17513216 26269824 52539648