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2044004004 = 2233713120639
BaseRepresentation
bin111100111010101…
…0000011010100100
312021110011011101000
41321311100122210
513141231112004
6534454033300
7101436514230
oct17165203244
95243134330
102044004004
11959872509
12490648830
13267613533
141556715c0
15be6a5c39
hex79d506a4

2044004004 has 96 divisors (see below), whose sum is σ = 6102835200. Its totient is φ = 579515040.

The previous prime is 2044003961. The next prime is 2044004047. The reversal of 2044004004 is 4004004402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2044003961) and next prime (2044004047).

It is a Harshad number since it is a multiple of its sum of digits (18).

2044004004 is a modest number, since divided by 4004 gives 2044 as remainder.

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, 88717 + ... + 109355.

It is an arithmetic number, because the mean of its divisors is an integer number (63571200).

Almost surely, 22044004004 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 2044004004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051417600).

2044004004 is an abundant number, since it is smaller than the sum of its proper divisors (4058831196).

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

2044004004 is a wasteful number, since it uses less digits than its factorization.

2044004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20790 (or 20782 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2044004004 is about 45210.6625034405. The cubic root of 2044004004 is about 1269.0943600229.

Adding to 2044004004 its reverse (4004004402), we get a palindrome (6048008406).

The spelling of 2044004004 in words is "two billion, forty-four million, four thousand, four", and thus it is an eban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 131 189 252 262 378 393 524 756 786 917 1179 1572 1834 2358 2751 3537 3668 4716 5502 7074 8253 11004 14148 16506 20639 24759 33012 41278 49518 61917 82556 99036 123834 144473 185751 247668 288946 371502 433419 557253 577892 743004 866838 1114506 1300257 1733676 2229012 2600514 2703709 3900771 5201028 5407418 7801542 8111127 10814836 15603084 16222254 18925963 24333381 32444508 37851926 48666762 56777889 73000143 75703852 97333524 113555778 146000286 170333667 227111556 292000572 340667334 511001001 681334668 1022002002 2044004004