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420611488 = 25112234723
BaseRepresentation
bin11001000100100…
…000010110100000
31002022110021111021
4121010200112200
51330134031423
6105423055224
713265065363
oct3104402640
91068407437
10420611488
111a6473700
12b8a41514
13691aa14b
143dc0c0da
1526dd595d
hex191205a0

420611488 has 72 divisors (see below), whose sum is σ = 949977504. Its totient is φ = 182835840.

The previous prime is 420611393. The next prime is 420611491. The reversal of 420611488 is 884116024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86695 + ... + 91417.

It is an arithmetic number, because the mean of its divisors is an integer number (13194132).

Almost surely, 2420611488 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 420611488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474988752).

420611488 is an abundant number, since it is smaller than the sum of its proper divisors (529366016).

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

420611488 is a wasteful number, since it uses less digits than its factorization.

420611488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 420611488 is about 20508.8148853121. The cubic root of 420611488 is about 749.2505034041.

The spelling of 420611488 in words is "four hundred twenty million, six hundred eleven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 121 176 184 242 253 352 368 484 506 736 968 1012 1936 2024 2783 3872 4048 4723 5566 8096 9446 11132 18892 22264 37784 44528 51953 75568 89056 103906 108629 151136 207812 217258 415624 434516 571483 831248 869032 1142966 1194919 1662496 1738064 2285932 2389838 3476128 4571864 4779676 9143728 9559352 13144109 18287456 19118704 26288218 38237408 52576436 105152872 210305744 420611488