Search a number
-
+
4472274520 = 2357311274057
BaseRepresentation
bin1000010101001000…
…10111111001011000
3102112200101002022001
410022210113321120
533124400241040
62015440210344
7215553464140
oct41244277130
912480332261
104472274520
11199553404a
12a499099b4
13563719bac
14305d6d920
151b296359a
hex10a917e58

4472274520 has 128 divisors (see below), whose sum is σ = 11967528960. Its totient is φ = 1471841280.

The previous prime is 4472274509. The next prime is 4472274539. The reversal of 4472274520 is 254722744.

It is a self number, because there is not a number n which added to its sum of digits gives 4472274520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1100332 + ... + 1104388.

It is an arithmetic number, because the mean of its divisors is an integer number (93496320).

Almost surely, 24472274520 is an apocalyptic number.

4472274520 is a gapful number since it is divisible by the number (40) 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 4472274520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983764480).

4472274520 is an abundant number, since it is smaller than the sum of its proper divisors (7495254440).

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

4472274520 is a wasteful number, since it uses less digits than its factorization.

4472274520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 37.

The square root of 4472274520 is about 66875.0665046398. The cubic root of 4472274520 is about 1647.5659881939.

The spelling of 4472274520 in words is "four billion, four hundred seventy-two million, two hundred seventy-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 127 140 155 217 248 254 280 310 434 508 620 635 868 889 1016 1085 1240 1270 1736 1778 2170 2540 3556 3937 4057 4340 4445 5080 7112 7874 8114 8680 8890 15748 16228 17780 19685 20285 27559 28399 31496 32456 35560 39370 40570 55118 56798 78740 81140 110236 113596 125767 137795 141995 157480 162280 220472 227192 251534 275590 283990 503068 515239 551180 567980 628835 880369 1006136 1030478 1102360 1135960 1257670 1760738 2060956 2515340 2576195 3521476 3606673 4121912 4401845 5030680 5152390 7042952 7213346 8803690 10304780 14426692 15972409 17607380 18033365 20609560 28853384 31944818 35214760 36066730 63889636 72133460 79862045 111806863 127779272 144266920 159724090 223613726 319448180 447227452 559034315 638896360 894454904 1118068630 2236137260 4472274520