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42315040 = 2551747331
BaseRepresentation
bin1010000101101…
…0110100100000
32221121211022201
42201122310200
541313040130
64110542544
71022446315
oct241326440
987554281
1042315040
1121981a09
1212207a54
1389c74b1
145896d0c
153aacbca
hex285ad20

42315040 has 96 divisors (see below), whose sum is σ = 108428544. Its totient is φ = 15544320.

The previous prime is 42315019. The next prime is 42315043. The reversal of 42315040 is 4051324.

It is a super-2 number, since 2×423150402 = 3581125220403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42314999 and 42315017.

It is not an unprimeable number, because it can be changed into a prime (42315043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127675 + ... + 128005.

It is an arithmetic number, because the mean of its divisors is an integer number (1129464).

Almost surely, 242315040 is an apocalyptic number.

42315040 is a gapful number since it is divisible by the number (40) 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 42315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54214272).

42315040 is an abundant number, since it is smaller than the sum of its proper divisors (66113504).

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

42315040 is a wasteful number, since it uses less digits than its factorization.

42315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 42315040 is about 6505.0011529592. The cubic root of 42315040 is about 348.4696174420.

Adding to 42315040 its reverse (4051324), we get a palindrome (46366364).

The spelling of 42315040 in words is "forty-two million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 47 68 80 85 94 136 160 170 188 235 272 331 340 376 470 544 662 680 752 799 940 1324 1360 1504 1598 1655 1880 2648 2720 3196 3310 3760 3995 5296 5627 6392 6620 7520 7990 10592 11254 12784 13240 15557 15980 22508 25568 26480 28135 31114 31960 45016 52960 56270 62228 63920 77785 90032 112540 124456 127840 155570 180064 225080 248912 264469 311140 450160 497824 528938 622280 900320 1057876 1244560 1322345 2115752 2489120 2644690 4231504 5289380 8463008 10578760 21157520 42315040