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3023825920 = 21052292579
BaseRepresentation
bin1011010000111011…
…1110110000000000
321210201212021100121
42310032332300000
522143044412140
61220015030024
7134635045003
oct26416766000
97721767317
103023825920
111311964195
1270480b314
1339260720b
1420984953a
1512a6ed64a
hexb43bec00

3023825920 has 88 divisors (see below), whose sum is σ = 7288138800. Its totient is φ = 1203781632.

The previous prime is 3023825897. The next prime is 3023825923. The reversal of 3023825920 is 295283203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023825923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1171191 + ... + 1173769.

Almost surely, 23023825920 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 3023825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644069400).

3023825920 is an abundant number, since it is smaller than the sum of its proper divisors (4264312880).

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

3023825920 is a wasteful number, since it uses less digits than its factorization.

3023825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 3023825920 is about 54989.3255095932. The cubic root of 3023825920 is about 1446.0576094564.

The spelling of 3023825920 in words is "three billion, twenty-three million, eight hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 229 256 320 458 512 640 916 1024 1145 1280 1832 2290 2560 2579 3664 4580 5120 5158 7328 9160 10316 12895 14656 18320 20632 25790 29312 36640 41264 51580 58624 73280 82528 103160 117248 146560 165056 206320 234496 293120 330112 412640 586240 590591 660224 825280 1172480 1181182 1320448 1650560 2362364 2640896 2952955 3301120 4724728 5905910 6602240 9449456 11811820 13204480 18898912 23623640 37797824 47247280 75595648 94494560 151191296 188989120 302382592 377978240 604765184 755956480 1511912960 3023825920