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42115460 = 22517971277
BaseRepresentation
bin1010000010101…
…0000110000100
32221020200112212
42200222012010
541240143320
64102402552
71020655412
oct240520604
987220485
1042115460
1121855a72
1212130458
1389576ba
1458442b2
153a6d9c5
hex282a184

42115460 has 48 divisors (see below), whose sum is σ = 94684464. Its totient is φ = 15679488.

The previous prime is 42115459. The next prime is 42115483. The reversal of 42115460 is 6451124.

It can be written as a sum of positive squares in 8 ways, for example, as 719104 + 41396356 = 848^2 + 6434^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32342 + ... + 33618.

It is an arithmetic number, because the mean of its divisors is an integer number (1972593).

Almost surely, 242115460 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 42115460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47342232).

42115460 is an abundant number, since it is smaller than the sum of its proper divisors (52569004).

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

42115460 is a wasteful number, since it uses less digits than its factorization.

42115460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 42115460 is about 6489.6425171191. The cubic root of 42115460 is about 347.9208984788.

Adding to 42115460 its reverse (6451124), we get a palindrome (48566584).

The spelling of 42115460 in words is "forty-two million, one hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1277 1649 1940 2554 3298 5108 6385 6596 8245 12770 16490 21709 25540 32980 43418 86836 108545 123869 217090 247738 434180 495476 619345 1238690 2105773 2477380 4211546 8423092 10528865 21057730 42115460