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4242442440 = 233597364471
BaseRepresentation
bin1111110011011110…
…1000100011001000
3101221122220101221210
43330313220203020
532142031124230
61540550133120
7210063110565
oct37467504310
911848811853
104242442440
111887825885
129a49511a0
13527c19192
142c362386c
1519c6b4eb0
hexfcde88c8

4242442440 has 64 divisors (see below), whose sum is σ = 12858572160. Its totient is φ = 1119651840.

The previous prime is 4242442439. The next prime is 4242442471. The reversal of 4242442440 is 442442424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4242442398 and 4242442407.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 170596 + ... + 193875.

It is an arithmetic number, because the mean of its divisors is an integer number (200915190).

Almost surely, 24242442440 is an apocalyptic number.

4242442440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242442440 is an abundant number, since it is smaller than the sum of its proper divisors (8616129720).

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

4242442440 is a wasteful number, since it uses less digits than its factorization.

4242442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364582 (or 364578 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

The square root of 4242442440 is about 65134.0344213377. The cubic root of 4242442440 is about 1618.8451913233.

Adding to 4242442440 its reverse (442442424), we get a palindrome (4684884864).

The spelling of 4242442440 in words is "four billion, two hundred forty-two million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 11640 364471 728942 1093413 1457884 1822355 2186826 2915768 3644710 4373652 5467065 7289420 8747304 10934130 14578840 21868260 35353687 43736520 70707374 106061061 141414748 176768435 212122122 282829496 353536870 424244244 530305305 707073740 848488488 1060610610 1414147480 2121221220 4242442440