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2123837248 = 26136733793
BaseRepresentation
bin111111010010111…
…0010111101000000
312111000101002222211
41332211302331000
513322200242443
6550425111504
7103426214221
oct17645627500
95430332884
102123837248
1199a93a3a5
124b3328594
1327b015a40
141620d3248
15c66c519d
hex7e972f40

2123837248 has 56 divisors (see below), whose sum is σ = 4546623368. Its totient is φ = 978518016.

The previous prime is 2123837231. The next prime is 2123837257. The reversal of 2123837248 is 8427383212.

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 2115264064 = 2928^2 + 45992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2123837248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558040 + ... + 561832.

It is an arithmetic number, because the mean of its divisors is an integer number (81189703).

Almost surely, 22123837248 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 2123837248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273311684).

2123837248 is an abundant number, since it is smaller than the sum of its proper divisors (2422786120).

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

2123837248 is a wasteful number, since it uses less digits than its factorization.

2123837248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4481 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 2123837248 is about 46085.1087445826. The cubic root of 2123837248 is about 1285.4062613457.

The spelling of 2123837248 in words is "two billion, one hundred twenty-three million, eight hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 673 832 1346 2692 3793 5384 7586 8749 10768 15172 17498 21536 30344 34996 43072 49309 60688 69992 98618 121376 139984 197236 242752 279968 394472 559936 788944 1577888 2552689 3155776 5105378 10210756 20421512 33184957 40843024 66369914 81686048 132739828 163372096 265479656 530959312 1061918624 2123837248