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2148277472 = 251115738873
BaseRepresentation
bin1000000000001100…
…0001110011100000
312112201100210200022
42000003001303200
513344424334342
6553101013012
7104144025425
oct20003016340
95481323608
102148277472
11a02712730
124bb554168
132830c2203
14165455d4c
15c89019d2
hex800c1ce0

2148277472 has 48 divisors (see below), whose sum is σ = 4643421552. Its totient is φ = 970245120.

The previous prime is 2148277423. The next prime is 2148277499. The reversal of 2148277472 is 2747728412.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35828 + ... + 74700.

It is an arithmetic number, because the mean of its divisors is an integer number (96737949).

Almost surely, 22148277472 is an apocalyptic number.

2148277472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148277472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321710776).

2148277472 is an abundant number, since it is smaller than the sum of its proper divisors (2495144080).

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

2148277472 is a wasteful number, since it uses less digits than its factorization.

2148277472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39051 (or 39043 counting only the distinct ones).

The product of its digits is 351232, while the sum is 44.

The square root of 2148277472 is about 46349.5142585119. The cubic root of 2148277472 is about 1290.3181059546.

The spelling of 2148277472 in words is "two billion, one hundred forty-eight million, two hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 157 176 314 352 628 1256 1727 2512 3454 5024 6908 13816 27632 38873 55264 77746 155492 310984 427603 621968 855206 1243936 1710412 3420824 6103061 6841648 12206122 13683296 24412244 48824488 67133671 97648976 134267342 195297952 268534684 537069368 1074138736 2148277472