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413195472 = 24331756263
BaseRepresentation
bin11000101000001…
…101110011010000
31001210111111122000
4120220031303100
51321234223342
6105000114000
713145050344
oct3050156320
91053444560
10413195472
111a2268968
12b6465900
13677b1781
143cc3b624
152641d44c
hex18a0dcd0

413195472 has 80 divisors (see below), whose sum is σ = 1255812480. Its totient is φ = 129627648.

The previous prime is 413195423. The next prime is 413195477. The reversal of 413195472 is 274591314.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413195477) 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, 20788 + ... + 35475.

It is an arithmetic number, because the mean of its divisors is an integer number (15697656).

Almost surely, 2413195472 is an apocalyptic number.

It is an amenable number.

413195472 is an abundant number, since it is smaller than the sum of its proper divisors (842617008).

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

413195472 is a wasteful number, since it uses less digits than its factorization.

413195472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56297 (or 56285 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 413195472 is about 20327.2101381375. The cubic root of 413195472 is about 744.8208941395.

The spelling of 413195472 in words is "four hundred thirteen million, one hundred ninety-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 56263 112526 168789 225052 337578 450104 506367 675156 900208 956471 1012734 1350312 1519101 1912942 2025468 2700624 2869413 3038202 3825884 4050936 5738826 6076404 7651768 8101872 8608239 11477652 12152808 15303536 17216478 22955304 24305616 25824717 34432956 45910608 51649434 68865912 103298868 137731824 206597736 413195472