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5254652040 = 2335114099733
BaseRepresentation
bin1001110010011001…
…11010000010001000
3111120012112222111020
410321030322002020
541230142331130
62225225232440
7244133543151
oct47114720210
914505488436
105254652040
112257128940
121027932720
1365983c881
1437bc2c928
1520b4a8e10
hex13933a088

5254652040 has 128 divisors (see below), whose sum is σ = 17240860800. Its totient is φ = 1270609920.

The previous prime is 5254652021. The next prime is 5254652093. The reversal of 5254652040 is 402564525.

It is a super-2 number, since 2×52546520402 = 55222736122952323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5254651992 and 5254652010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 535014 + ... + 544746.

It is an arithmetic number, because the mean of its divisors is an integer number (134694225).

Almost surely, 25254652040 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 5254652040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8620430400).

5254652040 is an abundant number, since it is smaller than the sum of its proper divisors (11986208760).

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

5254652040 is a wasteful number, since it uses less digits than its factorization.

5254652040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10167 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 5254652040 is about 72488.9787484967. The cubic root of 5254652040 is about 1738.5265237469.

The spelling of 5254652040 in words is "five billion, two hundred fifty-four million, six hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 409 440 660 818 1227 1320 1636 2045 2454 3272 4090 4499 4908 6135 8180 8998 9733 9816 12270 13497 16360 17996 19466 22495 24540 26994 29199 35992 38932 44990 48665 49080 53988 58398 67485 77864 89980 97330 107063 107976 116796 134970 145995 179960 194660 214126 233592 269940 291990 321189 389320 428252 535315 539880 583980 642378 856504 1070630 1167960 1284756 1605945 2141260 2569512 3211890 3980797 4282520 6423780 7961594 11942391 12847560 15923188 19903985 23884782 31846376 39807970 43788767 47769564 59711955 79615940 87577534 95539128 119423910 131366301 159231880 175155068 218943835 238847820 262732602 350310136 437887670 477695640 525465204 656831505 875775340 1050930408 1313663010 1751550680 2627326020 5254652040