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4640668440 = 2335316712211
BaseRepresentation
bin1000101001001101…
…01111101100011000
3102222102020101022220
410110212233230120
534001002342230
62044253344040
7223000013412
oct42446575430
912872211286
104640668440
111a71599981
12a96198020
1358c589175
143204859b2
151c2627d10
hex1149afb18

4640668440 has 64 divisors (see below), whose sum is σ = 13927541760. Its totient is φ = 1237019520.

The previous prime is 4640668367. The next prime is 4640668441. The reversal of 4640668440 is 448660464.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4640668392 and 4640668401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640668441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373935 + ... + 386145.

It is an arithmetic number, because the mean of its divisors is an integer number (217617840).

Almost surely, 24640668440 is an apocalyptic number.

4640668440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4640668440 is an abundant number, since it is smaller than the sum of its proper divisors (9286873320).

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

4640668440 is a wasteful number, since it uses less digits than its factorization.

4640668440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15392 (or 15388 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The square root of 4640668440 is about 68122.4518055538. The cubic root of 4640668440 is about 1667.9902724734.

The spelling of 4640668440 in words is "four billion, six hundred forty million, six hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3167 6334 9501 12211 12668 15835 19002 24422 25336 31670 36633 38004 47505 48844 61055 63340 73266 76008 95010 97688 122110 126680 146532 183165 190020 244220 293064 366330 380040 488440 732660 1465320 38672237 77344474 116016711 154688948 193361185 232033422 309377896 386722370 464066844 580083555 773444740 928133688 1160167110 1546889480 2320334220 4640668440