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42225040 = 24511133691
BaseRepresentation
bin1010000100010…
…0110110010000
32221110020212101
42201010312100
541302200130
64105010144
71021623034
oct241046620
987406771
1042225040
1121920330
1212183954
138995540
1458721c4
153a911ca
hex2844d90

42225040 has 80 divisors (see below), whose sum is σ = 115367616. Its totient is φ = 14169600.

The previous prime is 42225031. The next prime is 42225083. The reversal of 42225040 is 4052224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42224999 and 42225017.

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, 9595 + ... + 13285.

Almost surely, 242225040 is an apocalyptic number.

42225040 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 42225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57683808).

42225040 is an abundant number, since it is smaller than the sum of its proper divisors (73142576).

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

42225040 is a wasteful number, since it uses less digits than its factorization.

42225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 42225040 is about 6498.0797163470. The cubic root of 42225040 is about 348.2223883503. Note that the first 3 decimals are identical.

Adding to 42225040 its reverse (4052224), we get a palindrome (46277264).

The spelling of 42225040 in words is "forty-two million, two hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 3691 5720 7382 11440 14764 18455 29528 36910 40601 47983 59056 73820 81202 95966 147640 162404 191932 203005 239915 295280 324808 383864 406010 479830 527813 649616 767728 812020 959660 1055626 1624040 1919320 2111252 2639065 3248080 3838640 4222504 5278130 8445008 10556260 21112520 42225040