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5296033920 = 273514511901
BaseRepresentation
bin1001110111010101…
…10001000010000000
3111200002102101202110
410323222301002000
541321241041140
62233304215320
7245145355062
oct47352610200
914602371673
105296033920
112278522741
12103976a540
1366529b3a8
14383521732
1520ee30380
hex13bab1080

5296033920 has 128 divisors (see below), whose sum is σ = 16901628480. Its totient is φ = 1410560000.

The previous prime is 5296033901. The next prime is 5296033921. The reversal of 5296033920 is 293306925.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5296033921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2784970 + ... + 2786870.

Almost surely, 25296033920 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 5296033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8450814240).

5296033920 is an abundant number, since it is smaller than the sum of its proper divisors (11605594560).

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

5296033920 is a wasteful number, since it uses less digits than its factorization.

5296033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 5296033920 is about 72773.8546457449. The cubic root of 5296033920 is about 1743.0783925106.

The spelling of 5296033920 in words is "five billion, two hundred ninety-six million, thirty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1451 1901 1920 2902 3802 4353 5703 5804 7255 7604 8706 9505 11406 11608 14510 15208 17412 19010 21765 22812 23216 28515 29020 30416 34824 38020 43530 45624 46432 57030 58040 60832 69648 76040 87060 91248 92864 114060 116080 121664 139296 152080 174120 182496 185728 228120 232160 243328 278592 304160 348240 364992 456240 464320 557184 608320 696480 729984 912480 928640 1216640 1392960 1824960 2758351 2785920 3649920 5516702 8275053 11033404 13791755 16550106 22066808 27583510 33100212 41375265 44133616 55167020 66200424 82750530 88267232 110334040 132400848 165501060 176534464 220668080 264801696 331002120 353068928 441336160 529603392 662004240 882672320 1059206784 1324008480 1765344640 2648016960 5296033920