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42455460 = 223517107389
BaseRepresentation
bin1010000111110…
…1000110100100
32221212221221110
42201331012210
541332033320
64113545020
71023602565
oct241750644
987787843
1042455460
1121a68463
1212275170
138a46398
1458d216c
153ad95e0
hex287d1a4

42455460 has 96 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 10528768.

The previous prime is 42455423. The next prime is 42455471. The reversal of 42455460 is 6455424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108946 + ... + 109334.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 242455460 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 42455460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

42455460 is an abundant number, since it is smaller than the sum of its proper divisors (84915420).

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

42455460 is a wasteful number, since it uses less digits than its factorization.

42455460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 42455460 is about 6515.7854476648. The cubic root of 42455460 is about 348.8546505739.

The spelling of 42455460 in words is "forty-two million, four hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 107 170 204 214 255 321 340 389 428 510 535 642 778 1020 1070 1167 1284 1556 1605 1819 1945 2140 2334 3210 3638 3890 4668 5457 5835 6420 6613 7276 7780 9095 10914 11670 13226 18190 19839 21828 23340 26452 27285 33065 36380 39678 41623 54570 66130 79356 83246 99195 109140 124869 132260 166492 198390 208115 249738 396780 416230 499476 624345 707591 832460 1248690 1415182 2122773 2497380 2830364 3537955 4245546 7075910 8491092 10613865 14151820 21227730 42455460