Search a number
-
+
42151520 = 255463569
BaseRepresentation
bin1010000011001…
…0111001100000
32221022112000102
42200302321200
541242322040
64103241532
71021165505
oct240627140
987275012
1042151520
1121880074
12121492a8
13896ac38
1458534ac
153a79515
hex2832e60

42151520 has 48 divisors (see below), whose sum is σ = 99973440. Its totient is φ = 16794624.

The previous prime is 42151511. The next prime is 42151523. The reversal of 42151520 is 2515124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42151492 and 42151501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42151523) 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, 73796 + ... + 74364.

It is an arithmetic number, because the mean of its divisors is an integer number (2082780).

Almost surely, 242151520 is an apocalyptic number.

42151520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42151520 is an abundant number, since it is smaller than the sum of its proper divisors (57821920).

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

42151520 is a wasteful number, since it uses less digits than its factorization.

42151520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 42151520 is about 6492.4201958900. The cubic root of 42151520 is about 348.0201688227.

Adding to 42151520 its reverse (2515124), we get a palindrome (44666644).

The spelling of 42151520 in words is "forty-two million, one hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 463 569 926 1138 1852 2276 2315 2845 3704 4552 4630 5690 7408 9104 9260 11380 14816 18208 18520 22760 37040 45520 74080 91040 263447 526894 1053788 1317235 2107576 2634470 4215152 5268940 8430304 10537880 21075760 42151520