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4242632430 = 2352944910861
BaseRepresentation
bin1111110011100001…
…0110111011101110
3101221200021001120110
43330320112323232
532142103214210
61540554200450
7210064531521
oct37470267356
911850231513
104242632430
1118879455a3
129a4a23126
13527c847ba
142c3672bb8
1519c701420
hexfce16eee

4242632430 has 64 divisors (see below), whose sum is σ = 10557864000. Its totient is φ = 1089822720.

The previous prime is 4242632423. The next prime is 4242632431. The reversal of 4242632430 is 342362424.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242632431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385200 + ... + 396060.

It is an arithmetic number, because the mean of its divisors is an integer number (164966625).

Almost surely, 24242632430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242632430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278932000).

4242632430 is an abundant number, since it is smaller than the sum of its proper divisors (6315231570).

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

4242632430 is a wasteful number, since it uses less digits than its factorization.

4242632430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11349.

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 4242632430 is about 65135.4928591164. The cubic root of 4242632430 is about 1618.8693566330.

Adding to 4242632430 its reverse (342362424), we get a palindrome (4584994854).

The spelling of 4242632430 in words is "four billion, two hundred forty-two million, six hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 449 870 898 1347 2245 2694 4490 6735 10861 13021 13470 21722 26042 32583 39063 54305 65105 65166 78126 108610 130210 162915 195315 314969 325830 390630 629938 944907 1574845 1889814 3149690 4724535 4876589 9449070 9753178 14629767 24382945 29259534 48765890 73148835 141421081 146297670 282842162 424263243 707105405 848526486 1414210810 2121316215 4242632430