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2648856144 = 243115016773
BaseRepresentation
bin1001110111100010…
…0101011001010000
320211121021211112010
42131320211121100
520411101344034
61114502102520
7122432622444
oct23570453120
96747254463
102648856144
11113a234910
1261b11aa40
13332a1a7cc
141b1b1c824
151078313e9
hex9de25650

2648856144 has 40 divisors (see below), whose sum is σ = 7464959712. Its totient is φ = 802683520.

The previous prime is 2648856103. The next prime is 2648856149. The reversal of 2648856144 is 4416588462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2648856093 and 2648856102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648856149) 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, 2507859 + ... + 2508914.

Almost surely, 22648856144 is an apocalyptic number.

2648856144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2648856144 is an abundant number, since it is smaller than the sum of its proper divisors (4816103568).

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

2648856144 is a wasteful number, since it uses less digits than its factorization.

2648856144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016795 (or 5016789 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The square root of 2648856144 is about 51467.0393941598. The cubic root of 2648856144 is about 1383.6283681480.

The spelling of 2648856144 in words is "two billion, six hundred forty-eight million, eight hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 5016773 10033546 15050319 20067092 30100638 40134184 55184503 60201276 80268368 110369006 120402552 165553509 220738012 240805104 331107018 441476024 662214036 882952048 1324428072 2648856144