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4245220032 = 263234123447
BaseRepresentation
bin1111110100001000…
…1110101011000000
3101221212010112002120
43331002032223000
532143234020112
61541125444240
7210125526534
oct37502165300
911855115076
104245220032
111889352709
129a5870680
1352867c521
142c3b47bc4
1519ca62e8c
hexfd08eac0

4245220032 has 112 divisors (see below), whose sum is σ = 12006876672. Its totient is φ = 1320478720.

The previous prime is 4245219973. The next prime is 4245220033. The reversal of 4245220032 is 2300225424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4245219984 and 4245220011.

It is not an unprimeable number, because it can be changed into a prime (4245220033) 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, 169333 + ... + 192779.

It is an arithmetic number, because the mean of its divisors is an integer number (107204256).

Almost surely, 24245220032 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 4245220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003438336).

4245220032 is an abundant number, since it is smaller than the sum of its proper divisors (7761656640).

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

4245220032 is a wasteful number, since it uses less digits than its factorization.

4245220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23526 (or 23516 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4245220032 is about 65155.3530571357. The cubic root of 4245220032 is about 1619.1984084905.

Adding to 4245220032 its reverse (2300225424), we get a palindrome (6545445456).

The spelling of 4245220032 in words is "four billion, two hundred forty-five million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 64 69 82 92 96 123 138 164 184 192 246 276 328 368 492 552 656 736 943 984 1104 1312 1472 1886 1968 2208 2624 2829 3772 3936 4416 5658 7544 7872 11316 15088 22632 23447 30176 45264 46894 60352 70341 90528 93788 140682 181056 187576 281364 375152 539281 562728 750304 961327 1078562 1125456 1500608 1617843 1922654 2157124 2250912 2883981 3235686 3845308 4314248 4501824 5767962 6471372 7690616 8628496 11535924 12942744 15381232 17256992 22110521 23071848 25885488 30762464 34513984 44221042 46143696 51770976 61524928 66331563 88442084 92287392 103541952 132663126 176884168 184574784 265326252 353768336 530652504 707536672 1061305008 1415073344 2122610016 4245220032