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35142016 = 277213431
BaseRepresentation
bin1000011000001…
…1100110000000
32110010101210011
42012003212000
532444021031
63253114304
7604462600
oct206034600
973111704
1035142016
1118922798
12b928994
1373855c0
14494ac00
1531426b1
hex2183980

35142016 has 96 divisors (see below), whose sum is σ = 87907680. Its totient is φ = 13870080.

The previous prime is 35142013. The next prime is 35142031. The reversal of 35142016 is 61024153.

It is a super-2 number, since 2×351420162 = 2469922577088512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35142013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81321 + ... + 81751.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 235142016 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 35142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43953840).

35142016 is an abundant number, since it is smaller than the sum of its proper divisors (52765664).

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

35142016 is a wasteful number, since it uses less digits than its factorization.

35142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 35142016 is about 5928.0701750232. The cubic root of 35142016 is about 327.5484565948.

Adding to 35142016 its reverse (61024153), we get a palindrome (96166169).

The spelling of 35142016 in words is "thirty-five million, one hundred forty-two thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 431 448 637 728 784 832 862 896 1274 1456 1568 1664 1724 2548 2912 3017 3136 3448 5096 5603 5824 6034 6272 6896 10192 11206 11648 12068 13792 20384 21119 22412 24136 27584 39221 40768 42238 44824 48272 55168 78442 81536 84476 89648 96544 156884 168952 179296 193088 274547 313768 337904 358592 386176 549094 627536 675808 717184 1098188 1255072 1351616 2196376 2510144 2703232 4392752 5020288 8785504 17571008 35142016