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396725648 = 241112717749
BaseRepresentation
bin10111101001011…
…000110110010000
31000122111202021112
4113221120312100
51303030210043
6103211112452
712555053354
oct2751306620
91018452245
10396725648
11193a39940
12b0a42728
1364266107
143a991464
1524c68518
hex17a58d90

396725648 has 40 divisors (see below), whose sum is σ = 845184000. Its totient is φ = 178899840.

The previous prime is 396725647. The next prime is 396725653. The reversal of 396725648 is 846527693.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 396725596 and 396725605.

It is not an unprimeable number, because it can be changed into a prime (396725647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13478 + ... + 31226.

It is an arithmetic number, because the mean of its divisors is an integer number (21129600).

Almost surely, 2396725648 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 396725648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422592000).

396725648 is an abundant number, since it is smaller than the sum of its proper divisors (448458352).

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

396725648 is a wasteful number, since it uses less digits than its factorization.

396725648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17895 (or 17889 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 50.

The square root of 396725648 is about 19917.9729892376. The cubic root of 396725648 is about 734.7903195054.

The spelling of 396725648 in words is "three hundred ninety-six million, seven hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 127 176 254 508 1016 1397 2032 2794 5588 11176 17749 22352 35498 70996 141992 195239 283984 390478 780956 1561912 2254123 3123824 4508246 9016492 18032984 24795353 36065968 49590706 99181412 198362824 396725648