Search a number
-
+
4815929040 = 24351311811307
BaseRepresentation
bin1000111110000110…
…10011111011010000
3110102122000112200020
410133003103323100
534330334212130
62113514023440
7230225502306
oct43703237320
913378015606
104815929040
11205151484a
12b24a17b80
135b9990a70
14339868276
151d2be6e10
hex11f0d3ed0

4815929040 has 160 divisors (see below), whose sum is σ = 16103719296. Its totient is φ = 1183549440.

The previous prime is 4815929029. The next prime is 4815929047. The reversal of 4815929040 is 409295184.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4815928983 and 4815929001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4815929047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3684067 + ... + 3685373.

Almost surely, 24815929040 is an apocalyptic number.

4815929040 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 4815929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051859648).

4815929040 is an abundant number, since it is smaller than the sum of its proper divisors (11287790256).

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

4815929040 is a wasteful number, since it uses less digits than its factorization.

4815929040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 4815929040 is about 69396.8950314061. The cubic root of 4815929040 is about 1688.7292525963.

The spelling of 4815929040 in words is "four billion, eight hundred fifteen million, nine hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1181 1307 1560 2362 2614 3120 3543 3921 4724 5228 5905 6535 7086 7842 9448 10456 11810 13070 14172 15353 15684 16991 17715 18896 19605 20912 23620 26140 28344 30706 31368 33982 35430 39210 46059 47240 50973 52280 56688 61412 62736 67964 70860 76765 78420 84955 92118 94480 101946 104560 122824 135928 141720 153530 156840 169910 184236 203892 230295 245648 254865 271856 283440 307060 313680 339820 368472 407784 460590 509730 614120 679640 736944 815568 921180 1019460 1228240 1359280 1543567 1842360 2038920 3087134 3684720 4077840 4630701 6174268 7717835 9261402 12348536 15435670 18522804 20066371 23153505 24697072 30871340 37045608 40132742 46307010 60199113 61742680 74091216 80265484 92614020 100331855 120398226 123485360 160530968 185228040 200663710 240796452 300995565 321061936 370456080 401327420 481592904 601991130 802654840 963185808 1203982260 1605309680 2407964520 4815929040