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42051504 = 24311731091
BaseRepresentation
bin1010000001101…
…0011110110000
32221010102211010
42200122132300
541231122004
64101150520
71020301065
oct240323660
987112733
1042051504
1121811a10
12120bb440
138934561
145828c6c
153a59a89
hex281a7b0

42051504 has 80 divisors (see below), whose sum is σ = 120242304. Its totient is φ = 12556800.

The previous prime is 42051491. The next prime is 42051517. The reversal of 42051504 is 40515024.

It is an interprime number because it is at equal distance from previous prime (42051491) and next prime (42051517).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37999 + ... + 39089.

Almost surely, 242051504 is an apocalyptic number.

42051504 is a gapful number since it is divisible by the number (44) 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 42051504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60121152).

42051504 is an abundant number, since it is smaller than the sum of its proper divisors (78190800).

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

42051504 is a wasteful number, since it uses less digits than its factorization.

42051504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 42051504 is about 6484.7131008241. The cubic root of 42051504 is about 347.7446931758.

Adding to 42051504 its reverse (40515024), we get a palindrome (82566528).

The spelling of 42051504 in words is "forty-two million, fifty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 132 146 176 219 264 292 438 528 584 803 876 1091 1168 1606 1752 2182 2409 3212 3273 3504 4364 4818 6424 6546 8728 9636 12001 12848 13092 17456 19272 24002 26184 36003 38544 48004 52368 72006 79643 96008 144012 159286 192016 238929 288024 318572 477858 576048 637144 876073 955716 1274288 1752146 1911432 2628219 3504292 3822864 5256438 7008584 10512876 14017168 21025752 42051504