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42245250 = 2353233179
BaseRepresentation
bin1010000100100…
…1110010000010
32221111021120220
42201021302002
541303322000
64105243510
71022035665
oct241116202
987437526
1042245250
1121934533
1212193596
1389a17b8
1458796dc
153a971a0
hex2849c82

42245250 has 128 divisors (see below), whose sum is σ = 115015680. Its totient is φ = 10296000.

The previous prime is 42245249. The next prime is 42245251. The reversal of 42245250 is 5254224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42245249) and next prime (42245251).

It is a super-2 number, since 2×422452502 = 3569322295125000, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42245250.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42245251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534711 + ... + 534789.

It is an arithmetic number, because the mean of its divisors is an integer number (898560).

Almost surely, 242245250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42245250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57507840).

42245250 is an abundant number, since it is smaller than the sum of its proper divisors (72770430).

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

42245250 is a wasteful number, since it uses less digits than its factorization.

42245250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 42245250 is about 6499.6346051144. The cubic root of 42245250 is about 348.2779355800.

Adding to 42245250 its reverse (5254224), we get a palindrome (47499474).

The spelling of 42245250 in words is "forty-two million, two hundred forty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 31 46 50 62 69 75 79 93 115 125 138 150 155 158 186 230 237 250 310 345 375 395 465 474 575 690 713 750 775 790 930 1150 1185 1426 1550 1725 1817 1975 2139 2325 2370 2449 2875 3450 3565 3634 3875 3950 4278 4650 4898 5451 5750 5925 7130 7347 7750 8625 9085 9875 10695 10902 11625 11850 12245 14694 17250 17825 18170 19750 21390 23250 24490 27255 29625 35650 36735 45425 53475 54510 56327 59250 61225 73470 89125 90850 106950 112654 122450 136275 168981 178250 183675 227125 267375 272550 281635 306125 337962 367350 454250 534750 563270 612250 681375 844905 918375 1362750 1408175 1689810 1836750 2816350 4224525 7040875 8449050 14081750 21122625 42245250