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672969276 = 223371752363
BaseRepresentation
bin101000000111001…
…011001000111100
31201220022101022000
4220013023020330
52334240004101
6150440022300
722451100360
oct5007131074
91656271260
10672969276
11315967861
12169461990
13a9566a95
146553d2a0
153e133486
hex281cb23c

672969276 has 96 divisors (see below), whose sum is σ = 2111316480. Its totient is φ = 180963072.

The previous prime is 672969257. The next prime is 672969277.

It is a happy number.

672969276 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672969277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13330 + ... + 39033.

It is an arithmetic number, because the mean of its divisors is an integer number (21992880).

Almost surely, 2672969276 is an apocalyptic number.

It is an amenable number.

672969276 is an abundant number, since it is smaller than the sum of its proper divisors (1438347204).

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

672969276 is a wasteful number, since it uses less digits than its factorization.

672969276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52400 (or 52392 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 672969276 is about 25941.6513738043. The cubic root of 672969276 is about 876.3247529265.

The spelling of 672969276 in words is "six hundred seventy-two million, nine hundred sixty-nine thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 3213 4284 6426 12852 52363 104726 157089 209452 314178 366541 471267 628356 733082 890171 942534 1099623 1413801 1466164 1780342 1885068 2199246 2670513 2827602 3298869 3560684 4398492 5341026 5655204 6231197 6597738 8011539 9896607 10682052 12462394 13195476 16023078 18693591 19793214 24034617 24924788 32046156 37387182 39586428 48069234 56080773 74774364 96138468 112161546 168242319 224323092 336484638 672969276