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601399552 = 2813199511
BaseRepresentation
bin100011110110001…
…010000100000000
31112220122021002111
4203312022010000
52212424241202
6135402025104
720621545315
oct4366120400
91486567074
10601399552
11289524426
121494a8194
1397798930
1459c2cd0c
1537be76d7
hex23d8a100

601399552 has 72 divisors (see below), whose sum is σ = 1360976960. Its totient is φ = 262932480.

The previous prime is 601399529. The next prime is 601399559. The reversal of 601399552 is 255993106.

It is a happy number.

It is a super-2 number, since 2×6013995522 = 723362842291601408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (601399559) 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, 58477 + ... + 67987.

Almost surely, 2601399552 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 601399552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680488480).

601399552 is an abundant number, since it is smaller than the sum of its proper divisors (759577408).

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

601399552 is a wasteful number, since it uses less digits than its factorization.

601399552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9559 (or 9545 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 601399552 is about 24523.4490233327. The cubic root of 601399552 is about 844.0879493264.

The spelling of 601399552 in words is "six hundred one million, three hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 416 494 608 832 988 1216 1664 1976 2432 3328 3952 4864 7904 9511 15808 19022 31616 38044 63232 76088 123643 152176 180709 247286 304352 361418 494572 608704 722836 989144 1217408 1445672 1978288 2349217 2434816 2891344 3956576 4698434 5782688 7913152 9396868 11565376 15826304 18793736 23130752 31652608 37587472 46261504 75174944 150349888 300699776 601399552