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42025340 = 22572193761
BaseRepresentation
bin1010000001010…
…0000101111100
32221002002221002
42200110011330
541224302330
64100425432
71020131600
oct240240574
987062832
1042025340
11217a4295
12120a8278
138925686
14581d500
153a51e45
hex281417c

42025340 has 144 divisors (see below), whose sum is σ = 112805280. Its totient is φ = 13063680.

The previous prime is 42025331. The next prime is 42025349. The reversal of 42025340 is 4352024.

It is an interprime number because it is at equal distance from previous prime (42025331) and next prime (42025349).

It is a super-2 number, since 2×420253402 = 3532258404231200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42025349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688910 + ... + 688970.

It is an arithmetic number, because the mean of its divisors is an integer number (783370).

Almost surely, 242025340 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 42025340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56402640).

42025340 is an abundant number, since it is smaller than the sum of its proper divisors (70779940).

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

42025340 is a wasteful number, since it uses less digits than its factorization.

42025340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 42025340 is about 6482.6954270581. The cubic root of 42025340 is about 347.6725571924.

Adding to 42025340 its reverse (4352024), we get a palindrome (46377364).

The spelling of 42025340 in words is "forty-two million, twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 37 38 49 61 70 74 76 95 98 122 133 140 148 185 190 196 244 245 259 266 305 370 380 427 490 518 532 610 665 703 740 854 931 980 1036 1159 1220 1295 1330 1406 1708 1813 1862 2135 2257 2318 2590 2660 2812 2989 3515 3626 3724 4270 4514 4636 4655 4921 5180 5795 5978 7030 7252 8113 8540 9028 9065 9310 9842 11285 11590 11956 14060 14945 15799 16226 18130 18620 19684 22570 23180 24605 29890 31598 32452 34447 36260 40565 42883 45140 49210 56791 59780 63196 68894 78995 81130 85766 98420 110593 113582 137788 157990 162260 171532 172235 214415 221186 227164 283955 300181 315980 344470 428830 442372 552965 567910 600362 688940 857660 1105930 1135820 1200724 1500905 2101267 2211860 3001810 4202534 6003620 8405068 10506335 21012670 42025340