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5444640 = 2532519199
BaseRepresentation
bin10100110001010000100000
3101020121122100
4110301100200
52343212030
6312410400
764164405
oct24612040
911217570
105444640
113089703
1219a6a00
1311882a6
14a1a2ac
15728360
hex531420

5444640 has 144 divisors (see below), whose sum is σ = 19656000. Its totient is φ = 1368576.

The previous prime is 5444639. The next prime is 5444651. The reversal of 5444640 is 464445.

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27261 + ... + 27459.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

Almost surely, 25444640 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 5444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828000).

5444640 is an abundant number, since it is smaller than the sum of its proper divisors (14211360).

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

5444640 is a wasteful number, since it uses less digits than its factorization.

5444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 5444640 is about 2333.3752377190. The cubic root of 5444640 is about 175.9231758375.

It can be divided in two parts, 5444 and 640, that added together give a square (6084 = 782).

The spelling of 5444640 in words is "five million, four hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 199 228 240 285 288 304 342 360 380 398 456 480 570 597 608 684 720 760 796 855 912 995 1140 1194 1368 1440 1520 1592 1710 1791 1824 1990 2280 2388 2736 2985 3040 3184 3420 3582 3781 3980 4560 4776 5472 5970 6368 6840 7164 7562 7960 8955 9120 9552 11343 11940 13680 14328 15124 15920 17910 18905 19104 22686 23880 27360 28656 30248 31840 34029 35820 37810 45372 47760 56715 57312 60496 68058 71640 75620 90744 95520 113430 120992 136116 143280 151240 170145 181488 226860 272232 286560 302480 340290 362976 453720 544464 604960 680580 907440 1088928 1361160 1814880 2722320 5444640