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620563648 = 2617678513
BaseRepresentation
bin100100111111010…
…000110011000000
31121020200220021211
4210333100303000
52232331014043
6141324455504
721243463315
oct4477206300
91536626254
10620563648
11299323721
121539aa594
139b748733
145c5bad0c
1539730a9d
hex24fd0cc0

620563648 has 56 divisors (see below), whose sum is σ = 1323484272. Its totient is φ = 287637504.

The previous prime is 620563633. The next prime is 620563649. The reversal of 620563648 is 846365026.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 620563648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620563649) 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 7 ways as a sum of consecutive naturals, for example, 68640 + ... + 77152.

Almost surely, 2620563648 is an apocalyptic number.

620563648 is a gapful number since it is divisible by the number (68) 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 620563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661742136).

620563648 is an abundant number, since it is smaller than the sum of its proper divisors (702920624).

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

620563648 is a wasteful number, since it uses less digits than its factorization.

620563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609 (or 8599 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 620563648 is about 24911.1149489540. The cubic root of 620563648 is about 852.9602199123.

The spelling of 620563648 in words is "six hundred twenty million, five hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 134 136 268 272 536 544 1072 1088 1139 2144 2278 4288 4556 8513 9112 17026 18224 34052 36448 68104 72896 136208 144721 272416 289442 544832 570371 578884 1140742 1157768 2281484 2315536 4562968 4631072 9125936 9262144 9696307 18251872 19392614 36503744 38785228 77570456 155140912 310281824 620563648