Search a number
-
+
470055300 = 22352111310957
BaseRepresentation
bin11100000001000…
…111100110000100
31012202111021122120
4130001013212010
51430313232200
6114350525540
714435255421
oct3401074604
91182437576
10470055300
11221374560
121115068b0
13764cc340
14465dcd48
152b4009a0
hex1c047984

470055300 has 144 divisors (see below), whose sum is σ = 1597939392. Its totient is φ = 105177600.

The previous prime is 470055259. The next prime is 470055329. The reversal of 470055300 is 3550074.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37422 + ... + 48378.

Almost surely, 2470055300 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 470055300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798969696).

470055300 is an abundant number, since it is smaller than the sum of its proper divisors (1127884092).

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

470055300 is a wasteful number, since it uses less digits than its factorization.

470055300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10998 (or 10991 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 470055300 is about 21680.7587505604. The cubic root of 470055300 is about 777.5285019000.

The spelling of 470055300 in words is "four hundred seventy million, fifty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 10957 14300 21450 21914 32871 42900 43828 54785 65742 109570 120527 131484 142441 164355 219140 241054 273925 284882 328710 361581 427323 482108 547850 569764 602635 657420 712205 723162 821775 854646 1095700 1205270 1424410 1446324 1566851 1643550 1709292 1807905 2136615 2410540 2848820 3013175 3133702 3287100 3561025 3615810 4273230 4700553 6026350 6267404 7122050 7231620 7834255 8546460 9039525 9401106 10683075 12052700 14244100 15668510 18079050 18802212 21366150 23502765 31337020 36158100 39171275 42732300 47005530 78342550 94011060 117513825 156685100 235027650 470055300