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5772144 = 243741419
BaseRepresentation
bin10110000001001101110000
3101212020220010
4112001031300
52434202034
6323414520
7100030260
oct26011560
911766803
105772144
113292774
121b24440
131271391
14aa37a0
157903e9
hex581370

5772144 has 80 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1605120.

The previous prime is 5772139. The next prime is 5772157. The reversal of 5772144 is 4412775.

It is an Ulam number.

It is a d-powerful number, because it can be written as 53 + 72 + 78 + 211 + 1 + 45 + 46 .

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, 13567 + ... + 13985.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 25772144 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 5772144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

5772144 is an abundant number, since it is smaller than the sum of its proper divisors (11726736).

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

5772144 is a wasteful number, since it uses less digits than its factorization.

5772144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 472 counting only the distinct ones).

The product of its digits is 7840, while the sum is 30.

The square root of 5772144 is about 2402.5286678831. The cubic root of 5772144 is about 179.3820786986.

The spelling of 5772144 in words is "five million, seven hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 419 492 574 656 838 861 984 1148 1257 1676 1722 1968 2296 2514 2933 3352 3444 4592 5028 5866 6704 6888 8799 10056 11732 13776 17179 17598 20112 23464 34358 35196 46928 51537 68716 70392 103074 120253 137432 140784 206148 240506 274864 360759 412296 481012 721518 824592 962024 1443036 1924048 2886072 5772144