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42388976 = 2473753193
BaseRepresentation
bin1010000110110…
…0110111110000
32221202120202002
42201230313300
541322421401
64112313132
71023205010
oct241546760
987676662
1042388976
1121a22513
12122427a8
138a22046
1458b5c40
153ac4a6b
hex286cdf0

42388976 has 80 divisors (see below), whose sum is σ = 98725824. Its totient is φ = 17252352.

The previous prime is 42388949. The next prime is 42388987. The reversal of 42388976 is 67988324.

42388976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42388976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219536 + ... + 219728.

Almost surely, 242388976 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 42388976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49362912).

42388976 is an abundant number, since it is smaller than the sum of its proper divisors (56336848).

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

42388976 is a wasteful number, since it uses less digits than its factorization.

42388976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The square root of 42388976 is about 6510.6816847393. The cubic root of 42388976 is about 348.6724567345.

The spelling of 42388976 in words is "forty-two million, three hundred eighty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 37 53 56 74 106 112 148 193 212 259 296 371 386 424 518 592 742 772 848 1036 1351 1484 1544 1961 2072 2702 2968 3088 3922 4144 5404 5936 7141 7844 10229 10808 13727 14282 15688 20458 21616 27454 28564 31376 40916 49987 54908 57128 71603 81832 99974 109816 114256 143206 163664 199948 219632 286412 378473 399896 572824 756946 799792 1145648 1513892 2649311 3027784 5298622 6055568 10597244 21194488 42388976