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4024830464 = 2939719801
BaseRepresentation
bin1110111111100110…
…0000101000000000
3101101111102120102222
43233321200220000
531220324033324
61503214030212
7201511331414
oct35771405000
911344376388
104024830464
111785a03776
12943aa8368
134c1b066b5
142a2778d44
1518852c55e
hexefe60a00

4024830464 has 40 divisors (see below), whose sum is σ = 8062463508. Its totient is φ = 2007244800.

The previous prime is 4024830457. The next prime is 4024830473. The reversal of 4024830464 is 4640384204.

It can be written as a sum of positive squares in 2 ways, for example, as 3671390464 + 353440000 = 60592^2 + 18800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 193364 + ... + 213164.

Almost surely, 24024830464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031231754).

4024830464 is an abundant number, since it is smaller than the sum of its proper divisors (4037633044).

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

4024830464 is an equidigital number, since it uses as much as digits as its factorization.

4024830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20216 (or 20200 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The square root of 4024830464 is about 63441.5515573193. The cubic root of 4024830464 is about 1590.6789374005.

The spelling of 4024830464 in words is "four billion, twenty-four million, eight hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 397 512 794 1588 3176 6352 12704 19801 25408 39602 50816 79204 101632 158408 203264 316816 633632 1267264 2534528 5069056 7860997 10138112 15721994 31443988 62887976 125775952 251551904 503103808 1006207616 2012415232 4024830464