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2032000248 = 233586714431
BaseRepresentation
bin111100100011101…
…1101110011111000
312020121120022022110
41321013131303320
513130143001443
6533344452320
7101232500655
oct17107356370
95217508273
102032000248
11953013953
1248861a0a0
13264c9c915
14153c28c2c
15bd5d4233
hex791ddcf8

2032000248 has 32 divisors (see below), whose sum is σ = 5081218560. Its totient is φ = 677171040.

The previous prime is 2032000211. The next prime is 2032000249. The reversal of 2032000248 is 8420002302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032000249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133593 + ... + 148023.

It is an arithmetic number, because the mean of its divisors is an integer number (158788080).

Almost surely, 22032000248 is an apocalyptic number.

It is an amenable number.

2032000248 is an abundant number, since it is smaller than the sum of its proper divisors (3049218312).

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

2032000248 is a wasteful number, since it uses less digits than its factorization.

2032000248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20307 (or 20303 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2032000248 is about 45077.7134291437. The cubic root of 2032000248 is about 1266.6051578011.

The spelling of 2032000248 in words is "two billion, thirty-two million, two hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 5867 11734 14431 17601 23468 28862 35202 43293 46936 57724 70404 86586 115448 140808 173172 346344 84666677 169333354 254000031 338666708 508000062 677333416 1016000124 2032000248