Search a number
-
+
48405420 = 22325741937
BaseRepresentation
bin1011100010100…
…1101110101100
310101002020202100
42320221232230
544342433140
64445255100
71125303450
oct270515654
9111066670
1048405420
1125361788
1214264490
13a04a67b
146600660
1543b2530
hex2e29bac

48405420 has 144 divisors (see below), whose sum is σ = 172081728. Its totient is φ = 10782720.

The previous prime is 48405419. The next prime is 48405439. The reversal of 48405420 is 2450484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51192 + ... + 52128.

It is an arithmetic number, because the mean of its divisors is an integer number (1195012).

Almost surely, 248405420 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 48405420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86040864).

48405420 is an abundant number, since it is smaller than the sum of its proper divisors (123676308).

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

48405420 is a wasteful number, since it uses less digits than its factorization.

48405420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 48405420 is about 6957.4003765774. The cubic root of 48405420 is about 364.4444416215. Note that the first 5 decimals are identical.

The spelling of 48405420 in words is "forty-eight million, four hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 937 1148 1230 1260 1435 1476 1722 1845 1874 2460 2583 2811 2870 3444 3690 3748 4305 4685 5166 5622 5740 6559 7380 8433 8610 9370 10332 11244 12915 13118 14055 16866 17220 18740 19677 25830 26236 28110 32795 33732 38417 39354 42165 51660 56220 59031 65590 76834 78708 84330 98385 115251 118062 131180 153668 168660 192085 196770 230502 236124 268919 295155 345753 384170 393540 461004 537838 576255 590310 691506 768340 806757 1075676 1152510 1180620 1344595 1383012 1613514 1728765 2305020 2420271 2689190 3227028 3457530 4033785 4840542 5378380 6915060 8067570 9681084 12101355 16135140 24202710 48405420