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4194247488 = 263149271541
BaseRepresentation
bin1111100111111111…
…0010001101000000
3101211022012211220120
43321333302031000
532042211404423
61532105140240
7205636341534
oct37177621500
911738184816
104194247488
1118625a8242
1299078a680
1351ac43562
142bb079bc4
15198344ee3
hexf9ff2340

4194247488 has 112 divisors (see below), whose sum is σ = 11233708800. Its totient is φ = 1381017600.

The previous prime is 4194247487. The next prime is 4194247507. The reversal of 4194247488 is 8847424914.

It is a self number, because there is not a number n which added to its sum of digits gives 4194247488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194247481) 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, 7752498 + ... + 7753038.

Almost surely, 24194247488 is an apocalyptic number.

4194247488 is a gapful number since it is divisible by the number (48) 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 4194247488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616854400).

4194247488 is an abundant number, since it is smaller than the sum of its proper divisors (7039461312).

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

4194247488 is a wasteful number, since it uses less digits than its factorization.

4194247488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 966 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 4194247488 is about 64763.0101832829. The cubic root of 4194247488 is about 1612.6917009274.

The spelling of 4194247488 in words is "four billion, one hundred ninety-four million, two hundred forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 271 298 447 541 542 596 813 894 1082 1084 1192 1623 1626 1788 2164 2168 2384 3246 3252 3576 4328 4336 4768 6492 6504 7152 8656 8672 9536 12984 13008 14304 17312 17344 25968 26016 28608 34624 40379 51936 52032 80609 80758 103872 121137 146611 161218 161516 241827 242274 293222 322436 323032 439833 483654 484548 586444 644872 646064 879666 967308 969096 1172888 1289744 1292128 1759332 1934616 1938192 2345776 2579488 2584256 3518664 3869232 3876384 4691552 5158976 7037328 7738464 7752768 9383104 14074656 15476928 21845039 28149312 43690078 65535117 87380156 131070234 174760312 262140468 349520624 524280936 699041248 1048561872 1398082496 2097123744 4194247488