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4242244000 = 25531955819
BaseRepresentation
bin1111110011011011…
…1000000110100000
3101221122112022202011
43330312320012200
532142003302000
61540542002304
7210061323211
oct37466700640
911848468664
104242244000
1118876aa785
129a4876394
13527b79a67
142c35b1408
1519c6762ba
hexfcdb81a0

4242244000 has 96 divisors (see below), whose sum is σ = 10971979200. Its totient is φ = 1607558400.

The previous prime is 4242243877. The next prime is 4242244001. The reversal of 4242244000 is 4422424.

4242244000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4242244001) 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, 48091 + ... + 103909.

It is an arithmetic number, because the mean of its divisors is an integer number (114291450).

Almost surely, 24242244000 is an apocalyptic number.

4242244000 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 4242244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485989600).

4242244000 is an abundant number, since it is smaller than the sum of its proper divisors (6729735200).

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

4242244000 is a wasteful number, since it uses less digits than its factorization.

4242244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55863 (or 55845 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 4242244000 is about 65132.5110831757. The cubic root of 4242244000 is about 1618.8199504663.

Adding to 4242244000 its reverse (4422424), we get a palindrome (4246666424).

The spelling of 4242244000 in words is "four billion, two hundred forty-two million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15200 19000 38000 55819 76000 111638 223276 279095 446552 558190 893104 1060561 1116380 1395475 1786208 2121122 2232760 2790950 4242244 4465520 5302805 5581900 6977375 8484488 8931040 10605610 11163800 13954750 16968976 21211220 22327600 26514025 27909500 33937952 42422440 44655200 53028050 55819000 84844880 106056100 111638000 132570125 169689760 212112200 223276000 265140250 424224400 530280500 848448800 1060561000 2121122000 4242244000