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537453312 = 28311113563
BaseRepresentation
bin100000000010001…
…110001100000000
31101110022110100020
4200002032030000
52100042001222
6125155253440
716214164164
oct4002161400
91343273306
10537453312
112564186a0
1212bbaa280
1387469716
1451544ca4
15322b565c
hex2008e300

537453312 has 144 divisors (see below), whose sum is σ = 1577052288. Its totient is φ = 161136640.

The previous prime is 537453277. The next prime is 537453313. The reversal of 537453312 is 213354735.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (537453313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954343 + ... + 954905.

It is an arithmetic number, because the mean of its divisors is an integer number (10951752).

Almost surely, 2537453312 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 537453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788526144).

537453312 is an abundant number, since it is smaller than the sum of its proper divisors (1039598976).

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

537453312 is a wasteful number, since it uses less digits than its factorization.

537453312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 692 counting only the distinct ones).

The product of its digits is 37800, while the sum is 33.

The square root of 537453312 is about 23183.0393175701. The cubic root of 537453312 is about 813.0431237896.

The spelling of 537453312 in words is "five hundred thirty-seven million, four hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 128 132 176 192 226 256 264 339 352 384 452 528 563 678 704 768 904 1056 1126 1243 1356 1408 1689 1808 2112 2252 2486 2712 2816 3378 3616 3729 4224 4504 4972 5424 6193 6756 7232 7458 8448 9008 9944 10848 12386 13512 14464 14916 18016 18579 19888 21696 24772 27024 28928 29832 36032 37158 39776 43392 49544 54048 59664 63619 72064 74316 79552 86784 99088 108096 119328 127238 144128 148632 159104 190857 198176 216192 238656 254476 297264 318208 381714 396352 432384 477312 508952 594528 699809 763428 792704 954624 1017904 1189056 1399618 1526856 1585408 2035808 2099427 2378112 2799236 3053712 4071616 4198854 4756224 5598472 6107424 8143232 8397708 11196944 12214848 16286464 16795416 22393888 24429696 33590832 44787776 48859392 67181664 89575552 134363328 179151104 268726656 537453312