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537985536 = 29311171873
BaseRepresentation
bin100000000100010…
…000001000000000
31101111022111102020
4200010100020000
52100211014121
6125214521440
716221541644
oct4004201000
91344274366
10537985536
11256751550
12130206280
13875c4a4a
1451642c24
153236d1c6
hex20110200

537985536 has 160 divisors (see below), whose sum is σ = 1656376128. Its totient is φ = 153354240.

The previous prime is 537985529. The next prime is 537985543. The reversal of 537985536 is 635589735.

It is an interprime number because it is at equal distance from previous prime (537985529) and next prime (537985543).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286296 + ... + 288168.

Almost surely, 2537985536 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 537985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828188064).

537985536 is an abundant number, since it is smaller than the sum of its proper divisors (1118390592).

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

537985536 is a wasteful number, since it uses less digits than its factorization.

537985536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1906 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 51.

The square root of 537985536 is about 23194.5152137310. The cubic root of 537985536 is about 813.3114127091.

The spelling of 537985536 in words is "five hundred thirty-seven million, nine hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 512 528 544 561 704 748 768 816 1056 1088 1122 1408 1496 1536 1632 1873 2112 2176 2244 2816 2992 3264 3746 4224 4352 4488 5619 5632 5984 6528 7492 8448 8704 8976 11238 11968 13056 14984 16896 17952 20603 22476 23936 26112 29968 31841 35904 41206 44952 47872 59936 61809 63682 71808 82412 89904 95523 95744 119872 123618 127364 143616 164824 179808 191046 239744 247236 254728 287232 329648 350251 359616 382092 479488 494472 509456 659296 700502 719232 764184 958976 988944 1018912 1050753 1318592 1401004 1438464 1528368 1977888 2037824 2101506 2637184 2802008 2876928 3056736 3955776 4075648 4203012 5274368 5604016 6113472 7911552 8151296 8406024 10548736 11208032 12226944 15823104 16302592 16812048 22416064 24453888 31646208 33624096 44832128 48907776 67248192 89664256 134496384 179328512 268992768 537985536