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41242152 = 2337317919
BaseRepresentation
bin1001110101010…
…0111000101000
32212121022121010
42131110320220
541024222102
64031543520
71010360340
oct235247050
985538533
1041242152
1121309926
121198aba0
138710053
145697d20
153949d6c
hex2754e28

41242152 has 64 divisors (see below), whose sum is σ = 121651200. Its totient is φ = 11401920.

The previous prime is 41242133. The next prime is 41242181. The reversal of 41242152 is 25124214.

It is a super-2 number, since 2×412421522 = 3401830203182208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1249 + ... + 9167.

It is an arithmetic number, because the mean of its divisors is an integer number (1900800).

Almost surely, 241242152 is an apocalyptic number.

41242152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41242152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60825600).

41242152 is an abundant number, since it is smaller than the sum of its proper divisors (80409048).

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

41242152 is a wasteful number, since it uses less digits than its factorization.

41242152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7966 (or 7962 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 41242152 is about 6422.0052942987. The cubic root of 41242152 is about 345.4992477869.

Adding to 41242152 its reverse (25124214), we get a palindrome (66366366).

The spelling of 41242152 in words is "forty-one million, two hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 7919 15838 23757 31676 47514 55433 63352 95028 110866 166299 190056 221732 245489 332598 443464 490978 665196 736467 981956 1330392 1472934 1718423 1963912 2945868 3436846 5155269 5891736 6873692 10310538 13747384 20621076 41242152