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627106424 = 23779229619
BaseRepresentation
bin100101011000001…
…110001001111000
31121201000022021212
4211120032021320
52241014401144
6142121022252
721353213420
oct4530161170
91551008255
10627106424
112a1a9237a
12156024988
139cbc97b9
145d401480
153a0c449e
hex2560e278

627106424 has 64 divisors (see below), whose sum is σ = 1368960000. Its totient is φ = 263772288.

The previous prime is 627106397. The next prime is 627106429. The reversal of 627106424 is 424601726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627106429) 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, 1012787 + ... + 1013405.

It is an arithmetic number, because the mean of its divisors is an integer number (21390000).

Almost surely, 2627106424 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 627106424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684480000).

627106424 is an abundant number, since it is smaller than the sum of its proper divisors (741853576).

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

627106424 is a wasteful number, since it uses less digits than its factorization.

627106424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 627106424 is about 25042.0930435138. The cubic root of 627106424 is about 855.9474121186.

The spelling of 627106424 in words is "six hundred twenty-seven million, one hundred six thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 79 158 229 316 458 553 619 632 916 1106 1238 1603 1832 2212 2476 3206 4333 4424 4952 6412 8666 12824 17332 18091 34664 36182 48901 72364 97802 126637 141751 144728 195604 253274 283502 342307 391208 506548 567004 684614 992257 1013096 1134008 1369228 1984514 2738456 3969028 7938056 11198329 22396658 44793316 78388303 89586632 156776606 313553212 627106424