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42433668 = 22323147809
BaseRepresentation
bin1010000111011…
…1110010000100
32221211212001100
42201313302010
541330334133
64113300100
71023452214
oct241676204
987755040
1042433668
1121a53052
1212264630
138a394a4
1458c8244
153ad2e13
hex2877c84

42433668 has 72 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 13380480.

The previous prime is 42433663. The next prime is 42433673. The reversal of 42433668 is 86633424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42433663) and next prime (42433673).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42433661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52048 + ... + 52856.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 242433668 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 42433668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

42433668 is an abundant number, since it is smaller than the sum of its proper divisors (70784892).

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

42433668 is a wasteful number, since it uses less digits than its factorization.

42433668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 892 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 42433668 is about 6514.1129864318. The cubic root of 42433668 is about 348.7949523896.

The spelling of 42433668 in words is "forty-two million, four hundred thirty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 372 423 558 564 809 846 1116 1457 1618 1692 2427 2914 3236 4371 4854 5828 7281 8742 9708 13113 14562 17484 25079 26226 29124 38023 50158 52452 75237 76046 100316 114069 150474 152092 225711 228138 300948 342207 451422 456276 684414 902844 1178713 1368828 2357426 3536139 4714852 7072278 10608417 14144556 21216834 42433668