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4406297440 = 25537898363
BaseRepresentation
bin1000001101010001…
…01100001101100000
3102101002020002202111
410012220230031200
533011003004230
62005122125104
7214122624136
oct40650541540
912332202674
104406297440
111961270536
12a2b7b0794
13552b594bc
142db2b7756
151abc7e92a
hex106a2c360

4406297440 has 96 divisors (see below), whose sum is σ = 10812644640. Its totient is φ = 1695412224.

The previous prime is 4406297387. The next prime is 4406297453. The reversal of 4406297440 is 447926044.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4406297393 and 4406297402.

It is a congruent number.

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, 522699 + ... + 531061.

It is an arithmetic number, because the mean of its divisors is an integer number (112631715).

Almost surely, 24406297440 is an apocalyptic number.

4406297440 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 4406297440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406322320).

4406297440 is an abundant number, since it is smaller than the sum of its proper divisors (6406347200).

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

4406297440 is a wasteful number, since it uses less digits than its factorization.

4406297440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504 (or 8496 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 4406297440 is about 66379.9475745500. The cubic root of 4406297440 is about 1639.4239301330.

The spelling of 4406297440 in words is "four billion, four hundred six million, two hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 89 148 160 178 185 296 356 370 445 592 712 740 890 1184 1424 1480 1780 2848 2960 3293 3560 5920 6586 7120 8363 13172 14240 16465 16726 26344 32930 33452 41815 52688 65860 66904 83630 105376 131720 133808 167260 263440 267616 309431 334520 526880 618862 669040 744307 1237724 1338080 1488614 1547155 2475448 2977228 3094310 3721535 4950896 5954456 6188620 7443070 9901792 11908912 12377240 14886140 23817824 24754480 27539359 29772280 49508960 55078718 59544560 110157436 119089120 137696795 220314872 275393590 440629744 550787180 881259488 1101574360 2203148720 4406297440