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537469992 = 23342937773
BaseRepresentation
bin100000000010010…
…010010000101000
31101110100022020000
4200002102100220
52100043014432
6125155503000
716214263623
oct4002222050
91343308200
10537469992
1125642a184
1212bbb7a60
13874741a7
145154adba
15322ba57c
hex20092428

537469992 has 160 divisors (see below), whose sum is σ = 1601483400. Its totient is φ = 168086016.

The previous prime is 537469981. The next prime is 537469993. The reversal of 537469992 is 299964735.

It can be written as a sum of positive squares in 4 ways, for example, as 448846596 + 88623396 = 21186^2 + 9414^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (537469993) 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 39 ways as a sum of consecutive naturals, for example, 694918 + ... + 695690.

Almost surely, 2537469992 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 537469992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800741700).

537469992 is an abundant number, since it is smaller than the sum of its proper divisors (1064013408).

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

537469992 is a wasteful number, since it uses less digits than its factorization.

537469992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 844 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 537469992 is about 23183.3990605347. The cubic root of 537469992 is about 813.0515347025.

The spelling of 537469992 in words is "five hundred thirty-seven million, four hundred sixty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 37 54 58 72 74 81 87 108 111 116 148 162 174 216 222 232 261 296 324 333 348 444 522 648 666 696 773 783 888 999 1044 1073 1332 1546 1566 1998 2088 2146 2319 2349 2664 2997 3092 3132 3219 3996 4292 4638 4698 5994 6184 6264 6438 6957 7992 8584 9276 9396 9657 11988 12876 13914 18552 18792 19314 20871 22417 23976 25752 27828 28601 28971 38628 41742 44834 55656 57202 57942 62613 67251 77256 83484 85803 86913 89668 114404 115884 125226 134502 166968 171606 173826 179336 201753 228808 231768 250452 257409 269004 343212 347652 403506 500904 514818 538008 605259 686424 695304 772227 807012 829429 1029636 1210518 1544454 1614024 1658858 1815777 2059272 2316681 2421036 2488287 3088908 3317716 3631554 4633362 4842072 4976574 6177816 6635432 7263108 7464861 9266724 9953148 14526216 14929722 18533448 19906296 22394583 29859444 44789166 59718888 67183749 89578332 134367498 179156664 268734996 537469992