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631009216 = 26314767101
BaseRepresentation
bin100101100111000…
…110111111000000
31121222100120220201
4211213012333000
52243014243331
6142340414544
721431330005
oct4547067700
91558316821
10631009216
112a4208622
121573a7454
13a0965046
145db398ac
153a5e5a61
hex259c6fc0

631009216 has 112 divisors (see below), whose sum is σ = 1353019392. Its totient is φ = 291456000.

The previous prime is 631009201. The next prime is 631009217. The reversal of 631009216 is 612900136.

631009216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631009217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6247566 + ... + 6247666.

Almost surely, 2631009216 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 631009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676509696).

631009216 is an abundant number, since it is smaller than the sum of its proper divisors (722010176).

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

631009216 is a wasteful number, since it uses less digits than its factorization.

631009216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 631009216 is about 25119.8968150747. The cubic root of 631009216 is about 857.7194019075.

The spelling of 631009216 in words is "six hundred thirty-one million, nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 47 62 64 67 94 101 124 134 188 202 248 268 376 404 496 536 752 808 992 1072 1457 1504 1616 1984 2077 2144 2914 3008 3131 3149 3232 4154 4288 4747 5828 6262 6298 6464 6767 8308 9494 11656 12524 12596 13534 16616 18988 23312 25048 25192 27068 33232 37976 46624 50096 50384 54136 66464 75952 93248 97619 100192 100768 108272 132928 147157 151904 195238 200384 201536 209777 216544 294314 303808 318049 390476 419554 433088 588628 636098 780952 839108 1177256 1272196 1561904 1678216 2354512 2544392 3123808 3356432 4709024 5088784 6247616 6712864 9418048 9859519 10177568 13425728 19719038 20355136 39438076 78876152 157752304 315504608 631009216