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42610704 = 2431779661
BaseRepresentation
bin1010001010001…
…1000000010000
32222011211220020
42202203000100
541402020304
64121143440
71025120313
oct242430020
988154806
1042610704
1122064064
121232ab80
138a9bc46
14593297a
153b1a5d9
hex28a3010

42610704 has 80 divisors (see below), whose sum is σ = 118206720. Its totient is φ = 13178880.

The previous prime is 42610681. The next prime is 42610723. The reversal of 42610704 is 40701624.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64134 + ... + 64794.

It is an arithmetic number, because the mean of its divisors is an integer number (1477584).

Almost surely, 242610704 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 42610704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59103360).

42610704 is an abundant number, since it is smaller than the sum of its proper divisors (75596016).

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

42610704 is a wasteful number, since it uses less digits than its factorization.

42610704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42610704 is about 6527.6874925198. The cubic root of 42610704 is about 349.2793443878.

The spelling of 42610704 in words is "forty-two million, six hundred ten thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 79 102 136 158 204 237 272 316 408 474 632 661 816 948 1264 1322 1343 1896 1983 2644 2686 3792 3966 4029 5288 5372 7932 8058 10576 10744 11237 15864 16116 21488 22474 31728 32232 33711 44948 52219 64464 67422 89896 104438 134844 156657 179792 208876 269688 313314 417752 539376 626628 835504 887723 1253256 1775446 2506512 2663169 3550892 5326338 7101784 10652676 14203568 21305352 42610704