Search a number
-
+
5150435040 = 253253576691
BaseRepresentation
bin1001100101111110…
…10110011011100000
3111021221110012122100
410302333112123200
541022002410130
62211023410400
7241426655412
oct46277263340
914257405570
105150435040
112203317093
12bb8a53a00
136410807ca
1436c0609b2
1520226ec60
hex132fd66e0

5150435040 has 72 divisors (see below), whose sum is σ = 17575864488. Its totient is φ = 1373448960.

The previous prime is 5150435029. The next prime is 5150435041. The reversal of 5150435040 is 405340515.

5150435040 is a `hidden beast` number, since 5 + 150 + 4 + 3 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×51504350402 = 53053962202519603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5150434995 and 5150435013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5150435041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1786906 + ... + 1789785.

It is an arithmetic number, because the mean of its divisors is an integer number (244109229).

Almost surely, 25150435040 is an apocalyptic number.

It is an amenable number.

5150435040 is an abundant number, since it is smaller than the sum of its proper divisors (12425429448).

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

5150435040 is a wasteful number, since it uses less digits than its factorization.

5150435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576712 (or 3576701 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5150435040 is about 71766.5314753333. The cubic root of 5150435040 is about 1726.9561275043.

Adding to 5150435040 its reverse (405340515), we get a palindrome (5555775555).

The spelling of 5150435040 in words is "five billion, one hundred fifty million, four hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3576691 7153382 10730073 14306764 17883455 21460146 28613528 32190219 35766910 42920292 53650365 57227056 64380438 71533820 85840584 107300730 114454112 128760876 143067640 160951095 171681168 214601460 257521752 286135280 321902190 343362336 429202920 515043504 572270560 643804380 858405840 1030087008 1287608760 1716811680 2575217520 5150435040