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4402401020 = 2252389191563
BaseRepresentation
bin1000001100110011…
…10100111011111100
3102100210220010212122
410012121310323330
533004003313040
62004502422112
7214044535253
oct40631647374
912323803778
104402401020
11195a04a056
12a2a431938
135520c3b24
142da98179a
151ab7601b5
hex106674efc

4402401020 has 96 divisors (see below), whose sum is σ = 9823887360. Its totient is φ = 1653808640.

The previous prime is 4402400993. The next prime is 4402401041. The reversal of 4402401020 is 201042044.

It is a super-2 number, since 2×44024010202 = 38762269481794080800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4402401020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7819259 + ... + 7819821.

It is an arithmetic number, because the mean of its divisors is an integer number (102332160).

Almost surely, 24402401020 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 4402401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911943680).

4402401020 is an abundant number, since it is smaller than the sum of its proper divisors (5421486340).

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

4402401020 is a wasteful number, since it uses less digits than its factorization.

4402401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4402401020 is about 66350.5917079871. The cubic root of 4402401020 is about 1638.9405486315.

Adding to 4402401020 its reverse (201042044), we get a palindrome (4603443064).

The spelling of 4402401020 in words is "four billion, four hundred two million, four hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 89 92 115 178 191 230 356 382 445 460 563 764 890 955 1126 1780 1910 2047 2252 2815 3820 4094 4393 5630 8188 8786 10235 11260 12949 16999 17572 20470 21965 25898 33998 40940 43930 50107 51796 64745 67996 84995 87860 100214 107533 129490 169990 200428 215066 250535 258980 339980 390977 430132 501070 537665 781954 1002140 1075330 1152461 1563908 1954885 2150660 2304922 2473259 3909770 4609844 4946518 5762305 7819540 9570437 9893036 11524610 12366295 19140874 23049220 24732590 38281748 47852185 49465180 95704370 191408740 220120051 440240102 880480204 1100600255 2201200510 4402401020