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535708416 = 2832967359
BaseRepresentation
bin11111111011100…
…100001100000000
31101100000210210110
4133323210030000
52044120132131
6125054031320
716163306055
oct3773441400
91340023713
10535708416
11255436731
1212b4a8540
1386ca8439
145120d02c
153206d646
hex1fee4300

535708416 has 144 divisors (see below), whose sum is σ = 1501113600. Its totient is φ = 169365504.

The previous prime is 535708391. The next prime is 535708463. The reversal of 535708416 is 614807535.

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, 1492045 + ... + 1492403.

It is an arithmetic number, because the mean of its divisors is an integer number (10424400).

Almost surely, 2535708416 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 535708416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750556800).

535708416 is an abundant number, since it is smaller than the sum of its proper divisors (965405184).

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

535708416 is a wasteful number, since it uses less digits than its factorization.

535708416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 535708416 is about 23145.3756936456. The cubic root of 535708416 is about 812.1622945598.

The spelling of 535708416 in words is "five hundred thirty-five million, seven hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 67 87 96 116 128 134 174 192 201 232 256 268 348 359 384 402 464 536 696 718 768 804 928 1072 1077 1392 1436 1608 1856 1943 2144 2154 2784 2872 3216 3712 3886 4288 4308 5568 5744 5829 6432 7424 7772 8576 8616 10411 11136 11488 11658 12864 15544 17152 17232 20822 22272 22976 23316 24053 25728 31088 31233 34464 41644 45952 46632 48106 51456 62176 62466 68928 72159 83288 91904 93264 96212 124352 124932 137856 144318 166576 186528 192424 248704 249864 275712 288636 333152 373056 384848 497408 499728 577272 666304 697537 746112 769696 999456 1154544 1332608 1395074 1492224 1539392 1998912 2092611 2309088 2665216 2790148 3078784 3997824 4185222 4618176 5580296 6157568 7995648 8370444 9236352 11160592 16740888 18472704 22321184 33481776 44642368 66963552 89284736 133927104 178569472 267854208 535708416