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413522656 = 2537794421
BaseRepresentation
bin11000101001011…
…101101011100000
31001211010010102221
4120221131223200
51321330211111
6105011120424
713150612261
oct3051355340
91054103387
10413522656
111a2471768
12b65a3114
1367897681
143ccc4968
1526485371
hex18a5dae0

413522656 has 48 divisors (see below), whose sum is σ = 846901440. Its totient is φ = 198581760.

The previous prime is 413522651. The next prime is 413522657. The reversal of 413522656 is 656225314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413522651) 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, 91326 + ... + 95746.

It is an arithmetic number, because the mean of its divisors is an integer number (17643780).

Almost surely, 2413522656 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 413522656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423450720).

413522656 is an abundant number, since it is smaller than the sum of its proper divisors (433378784).

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

413522656 is a wasteful number, since it uses less digits than its factorization.

413522656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4539 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 413522656 is about 20335.2564773597. The cubic root of 413522656 is about 745.0174348426.

The spelling of 413522656 in words is "four hundred thirteen million, five hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 74 79 148 158 296 316 592 632 1184 1264 2528 2923 4421 5846 8842 11692 17684 23384 35368 46768 70736 93536 141472 163577 327154 349259 654308 698518 1308616 1397036 2617232 2794072 5234464 5588144 11176288 12922583 25845166 51690332 103380664 206761328 413522656