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42733888 = 2619113311
BaseRepresentation
bin1010001100000…
…1000101000000
32222102002212121
42203001011000
541414441023
64123534024
71026142411
oct243010500
988362777
1042733888
112213866a
121238a314
138b13032
145965808
153b41d5d
hex28c1140

42733888 has 56 divisors (see below), whose sum is σ = 90342720. Its totient is φ = 19998720.

The previous prime is 42733883. The next prime is 42733891. The reversal of 42733888 is 88833724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42733883) 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 7 ways as a sum of consecutive naturals, for example, 137253 + ... + 137563.

Almost surely, 242733888 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 42733888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45171360).

42733888 is an abundant number, since it is smaller than the sum of its proper divisors (47608832).

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

42733888 is a wasteful number, since it uses less digits than its factorization.

42733888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The square root of 42733888 is about 6537.1161837618. The cubic root of 42733888 is about 349.6155997417.

The spelling of 42733888 in words is "forty-two million, seven hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 113 152 226 304 311 452 608 622 904 1216 1244 1808 2147 2488 3616 4294 4976 5909 7232 8588 9952 11818 17176 19904 23636 34352 35143 47272 68704 70286 94544 137408 140572 189088 281144 378176 562288 667717 1124576 1335434 2249152 2670868 5341736 10683472 21366944 42733888