Search a number
-
+
547983040 = 26511413797
BaseRepresentation
bin100000101010011…
…000111011000000
31102012010102102011
4200222120323000
52110240424130
6130213102304
716402531123
oct4052307300
91365112364
10547983040
1126135a850
12133627994
13896b5427
1452ac63ba
153319552a
hex20a98ec0

547983040 has 112 divisors (see below), whose sum is σ = 1458614304. Its totient is φ = 194355200.

The previous prime is 547983019. The next prime is 547983071. The reversal of 547983040 is 40389745.

547983040 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 547982984 and 547983002.

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 15 ways as a sum of consecutive naturals, for example, 142422 + ... + 146218.

It is an arithmetic number, because the mean of its divisors is an integer number (13023342).

Almost surely, 2547983040 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 547983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729307152).

547983040 is an abundant number, since it is smaller than the sum of its proper divisors (910631264).

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

547983040 is a wasteful number, since it uses less digits than its factorization.

547983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 547983040 is about 23409.0375709895. The cubic root of 547983040 is about 818.3185054986.

The spelling of 547983040 in words is "five hundred forty-seven million, nine hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 160 164 176 205 220 320 328 352 410 440 451 656 704 820 880 902 1312 1640 1760 1804 2255 2624 3280 3520 3608 3797 4510 6560 7216 7594 9020 13120 14432 15188 18040 18985 28864 30376 36080 37970 41767 60752 72160 75940 83534 121504 144320 151880 155677 167068 208835 243008 303760 311354 334136 417670 607520 622708 668272 778385 835340 1215040 1245416 1336544 1556770 1670680 1712447 2490832 2673088 3113540 3341360 3424894 4981664 6227080 6682720 6849788 8562235 9963328 12454160 13365440 13699576 17124470 24908320 27399152 34248940 49816640 54798304 68497880 109596608 136995760 273991520 547983040