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412249424 = 24234189307
BaseRepresentation
bin11000100100100…
…110110101010000
31001201201102220012
4120210212311100
51321013440144
6104523534052
713134030236
oct3044466520
91051642805
10412249424
111a1782104
12b608a328
136753cc92
143ca72956
15262d2e9e
hex18926d50

412249424 has 80 divisors (see below), whose sum is σ = 866194560. Its totient is φ = 189573120.

The previous prime is 412249421. The next prime is 412249429. The reversal of 412249424 is 424942214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412249421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1342679 + ... + 1342985.

It is an arithmetic number, because the mean of its divisors is an integer number (10827432).

Almost surely, 2412249424 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 412249424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433097280).

412249424 is an abundant number, since it is smaller than the sum of its proper divisors (453945136).

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

412249424 is a wasteful number, since it uses less digits than its factorization.

412249424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 412249424 is about 20303.9263198033. The cubic root of 412249424 is about 744.2520150608.

The spelling of 412249424 in words is "four hundred twelve million, two hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 41 46 82 89 92 164 178 184 307 328 356 368 614 656 712 943 1228 1424 1886 2047 2456 3649 3772 4094 4912 7061 7298 7544 8188 12587 14122 14596 15088 16376 25174 27323 28244 29192 32752 50348 54646 56488 58384 83927 100696 109292 112976 167854 201392 218584 289501 335708 437168 579002 628429 671416 1120243 1158004 1256858 1342832 2240486 2316008 2513716 4480972 4632016 5027432 8961944 10054864 17923888 25765589 51531178 103062356 206124712 412249424