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42599424 = 210372283
BaseRepresentation
bin1010001010000…
…0010000000000
32222011021102110
42202200100000
541401140144
64121015320
71025042400
oct242402000
988137373
1042599424
112205663a
1212324540
138a96a7a
14592c800
153b170b9
hex28a0400

42599424 has 132 divisors (see below), whose sum is σ = 132547344. Its totient is φ = 12128256.

The previous prime is 42599419. The next prime is 42599429. The reversal of 42599424 is 42499524.

It is an interprime number because it is at equal distance from previous prime (42599419) and next prime (42599429).

Its product of digits (103680) is a multiple of the sum of its prime factors (320).

It is not an unprimeable number, because it can be changed into a prime (42599429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150387 + ... + 150669.

Almost surely, 242599424 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 42599424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66273672).

42599424 is an abundant number, since it is smaller than the sum of its proper divisors (89947920).

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

42599424 is a wasteful number, since it uses less digits than its factorization.

42599424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 295 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 42599424 is about 6526.8234233814. The cubic root of 42599424 is about 349.2485210004.

The spelling of 42599424 in words is "forty-two million, five hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 283 294 336 384 392 448 512 566 588 672 768 784 849 896 1024 1132 1176 1344 1536 1568 1698 1792 1981 2264 2352 2688 3072 3136 3396 3584 3962 4528 4704 5376 5943 6272 6792 7168 7924 9056 9408 10752 11886 12544 13584 13867 15848 18112 18816 21504 23772 25088 27168 27734 31696 36224 37632 41601 47544 50176 54336 55468 63392 72448 75264 83202 95088 108672 110936 126784 144896 150528 166404 190176 217344 221872 253568 289792 332808 380352 434688 443744 507136 665616 760704 869376 887488 1014272 1331232 1521408 1774976 2028544 2662464 3042816 3549952 5324928 6085632 7099904 10649856 14199808 21299712 42599424