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674943048 = 2332133719489
BaseRepresentation
bin101000001110101…
…101000001001000
31202001000122210200
4220032231001020
52340241134143
6150550212200
722503630663
oct5016550110
91661018720
10674943048
11316a9577a
1216a054060
13a9aa82b0
14658d46da
153e3c31d3
hex283ad048

674943048 has 96 divisors (see below), whose sum is σ = 2021892600. Its totient is φ = 202051584.

The previous prime is 674943043. The next prime is 674943089. The reversal of 674943048 is 840349476.

It can be written as a sum of positive squares in 4 ways, for example, as 403286724 + 271656324 = 20082^2 + 16482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 674942994 and 674943012.

It is not an unprimeable number, because it can be changed into a prime (674943043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24888 + ... + 44376.

Almost surely, 2674943048 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 674943048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010946300).

674943048 is an abundant number, since it is smaller than the sum of its proper divisors (1346949552).

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

674943048 is a wasteful number, since it uses less digits than its factorization.

674943048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19551 (or 19544 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 674943048 is about 25979.6660486620. Note that the first 3 decimals coincide. The cubic root of 674943048 is about 877.1806498576.

The spelling of 674943048 in words is "six hundred seventy-four million, nine hundred forty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 666 888 936 962 1332 1443 1924 2664 2886 3848 4329 5772 8658 11544 17316 19489 34632 38978 58467 77956 116934 155912 175401 233868 253357 350802 467736 506714 701604 721093 760071 1013428 1403208 1442186 1520142 2026856 2163279 2280213 2884372 3040284 4326558 4560426 5768744 6080568 6489837 8653116 9120852 9374209 12979674 17306232 18241704 18748418 25959348 28122627 37496836 51918696 56245254 74993672 84367881 112490508 168735762 224981016 337471524 674943048