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675628536 = 233116738197
BaseRepresentation
bin101000010001010…
…100010111111000
31202002022111010010
4220101110113320
52340430103121
6151013021520
722512514332
oct5021242770
91662274103
10675628536
113174137a0
1216a3248a0
13a9c882cb
1465a32452
153e4ab376
hex284545f8

675628536 has 64 divisors (see below), whose sum is σ = 1870174080. Its totient is φ = 201674880.

The previous prime is 675628531. The next prime is 675628537. The reversal of 675628536 is 635826576.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675628531) 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 15 ways as a sum of consecutive naturals, for example, 1411 + ... + 36786.

It is an arithmetic number, because the mean of its divisors is an integer number (29221470).

Almost surely, 2675628536 is an apocalyptic number.

675628536 is a gapful number since it is divisible by the number (66) 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 675628536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935087040).

675628536 is an abundant number, since it is smaller than the sum of its proper divisors (1194545544).

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

675628536 is a wasteful number, since it uses less digits than its factorization.

675628536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38284 (or 38280 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 675628536 is about 25992.8554799199. The cubic root of 675628536 is about 877.4775111322.

The spelling of 675628536 in words is "six hundred seventy-five million, six hundred twenty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 4422 5896 8844 17688 38197 76394 114591 152788 229182 305576 420167 458364 840334 916728 1260501 1680668 2521002 2559199 3361336 5042004 5118398 7677597 10084008 10236796 15355194 20473592 28151189 30710388 56302378 61420776 84453567 112604756 168907134 225209512 337814268 675628536