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2744028976 = 241341794073
BaseRepresentation
bin1010001110001110…
…1000111100110000
321002020101010002211
42203203220330300
521104432411401
61132142021504
7124666601323
oct24343507460
97066333084
102744028976
111188a29647
12646b77894
133496610b0
141c06147ba
15110d80951
hexa38e8f30

2744028976 has 80 divisors (see below), whose sum is σ = 5940869760. Its totient is φ = 1219645440.

The previous prime is 2744028967. The next prime is 2744028979. The reversal of 2744028976 is 6798204472.

It is a happy number.

It is a super-2 number, since 2×27440289762 = 15059390042255217152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2744028979) 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, 671676 + ... + 675748.

It is an arithmetic number, because the mean of its divisors is an integer number (74260872).

Almost surely, 22744028976 is an apocalyptic number.

2744028976 is a gapful number since it is divisible by the number (26) 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 2744028976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970434880).

2744028976 is an abundant number, since it is smaller than the sum of its proper divisors (3196840784).

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

2744028976 is a wasteful number, since it uses less digits than its factorization.

2744028976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The square root of 2744028976 is about 52383.4799913102. The cubic root of 2744028976 is about 1400.0049278738.

The spelling of 2744028976 in words is "two billion, seven hundred forty-four million, twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 41 52 79 82 104 158 164 208 316 328 533 632 656 1027 1066 1264 2054 2132 3239 4073 4108 4264 6478 8146 8216 8528 12956 16292 16432 25912 32584 42107 51824 52949 65168 84214 105898 166993 168428 211796 321767 333986 336856 423592 643534 667972 673712 847184 1287068 1335944 2170909 2574136 2671888 4182971 4341818 5148272 8365942 8683636 13192447 16731884 17367272 26384894 33463768 34734544 52769788 66927536 105539576 171501811 211079152 343003622 686007244 1372014488 2744028976