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42207616 = 271131967
BaseRepresentation
bin1010000100000…
…0100110000000
32221102100222001
42201000212000
541301120431
64104353344
71021521163
oct241004600
987370861
1042207616
1121909230
1212175854
13898a629
145869ada
153a8ae61
hex2840980

42207616 has 64 divisors (see below), whose sum is σ = 94786560. Its totient is φ = 18547200.

The previous prime is 42207611. The next prime is 42207619. The reversal of 42207616 is 61670224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42207611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43165 + ... + 44131.

It is an arithmetic number, because the mean of its divisors is an integer number (1481040).

Almost surely, 242207616 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 42207616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47393280).

42207616 is an abundant number, since it is smaller than the sum of its proper divisors (52578944).

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

42207616 is a wasteful number, since it uses less digits than its factorization.

42207616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 42207616 is about 6496.7388742353. The cubic root of 42207616 is about 348.1744842185.

The spelling of 42207616 in words is "forty-two million, two hundred seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 967 992 1364 1408 1934 1984 2728 3868 3968 5456 7736 10637 10912 15472 21274 21824 29977 30944 42548 43648 59954 61888 85096 119908 123776 170192 239816 329747 340384 479632 659494 680768 959264 1318988 1361536 1918528 2637976 3837056 5275952 10551904 21103808 42207616