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537410328 = 2337131032389
BaseRepresentation
bin100000000010000…
…011101100011000
31101110020021101020
4200002003230120
52100034112303
6125154322440
716213624650
oct4002035430
91343207336
10537410328
11256399374
1212bb89420
1387452ca0
1451533360
15322a7a53
hex20083b18

537410328 has 128 divisors (see below), whose sum is σ = 1670323200. Its totient is φ = 140299776.

The previous prime is 537410303. The next prime is 537410333. The reversal of 537410328 is 823014735.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223758 + ... + 226146.

It is an arithmetic number, because the mean of its divisors is an integer number (13049400).

Almost surely, 2537410328 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 537410328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835161600).

537410328 is an abundant number, since it is smaller than the sum of its proper divisors (1132912872).

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

537410328 is a wasteful number, since it uses less digits than its factorization.

537410328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 537410328 is about 23182.1122419852. The cubic root of 537410328 is about 813.0214482464.

The spelling of 537410328 in words is "five hundred thirty-seven million, four hundred ten thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 103 104 156 168 182 206 273 309 312 364 412 546 618 721 728 824 1092 1236 1339 1442 2163 2184 2389 2472 2678 2884 4017 4326 4778 5356 5768 7167 8034 8652 9373 9556 10712 14334 16068 16723 17304 18746 19112 28119 28668 31057 32136 33446 37492 50169 56238 57336 62114 66892 74984 93171 100338 112476 124228 133784 186342 200676 217399 224952 246067 248456 372684 401352 434798 492134 652197 738201 745368 869596 984268 1304394 1476402 1722469 1739192 1968536 2608788 2952804 3198871 3444938 5167407 5217576 5905608 6397742 6889876 9596613 10334814 12795484 13779752 19193226 20669628 22392097 25590968 38386452 41339256 44784194 67176291 76772904 89568388 134352582 179136776 268705164 537410328