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3252638816 = 2573674423
BaseRepresentation
bin1100000111011111…
…0101010001100000
322101200102011122022
43001313311101200
523130133420231
61254431201012
7143413655000
oct30167652140
98350364568
103252638816
11141a036759
12769376168
133cab3c06b
1422bdac000
15140849c7b
hexc1df5460

3252638816 has 96 divisors (see below), whose sum is σ = 7580966400. Its totient is φ = 1372871808.

The previous prime is 3252638813. The next prime is 3252638833. The reversal of 3252638816 is 6188362523.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3252638813) 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, 733181 + ... + 737603.

It is an arithmetic number, because the mean of its divisors is an integer number (78968400).

Almost surely, 23252638816 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 3252638816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790483200).

3252638816 is an abundant number, since it is smaller than the sum of its proper divisors (4328327584).

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

3252638816 is an equidigital number, since it uses as much as digits as its factorization.

3252638816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4499 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 3252638816 is about 57031.9105063122. The cubic root of 3252638816 is about 1481.6488222650.

The spelling of 3252638816 in words is "three billion, two hundred fifty-two million, six hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 67 98 112 134 196 224 268 343 392 469 536 686 784 938 1072 1372 1568 1876 2144 2744 3283 3752 4423 5488 6566 7504 8846 10976 13132 15008 17692 22981 26264 30961 35384 45962 52528 61922 70768 91924 105056 123844 141536 183848 216727 247688 296341 367696 433454 495376 592682 735392 866908 990752 1185364 1517089 1733816 2074387 2370728 3034178 3467632 4148774 4741456 6068356 6935264 8297548 9482912 12136712 14520709 16595096 24273424 29041418 33190192 48546848 58082836 66380384 101644963 116165672 203289926 232331344 406579852 464662688 813159704 1626319408 3252638816