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412496352 = 25322362273
BaseRepresentation
bin11000100101100…
…011000111100000
31001202011222121200
4120211203013200
51321044340402
6104533121200
713136106162
oct3045430740
91052158550
10412496352
111a1930684
12b6189200
13675c84a8
143cad8932
152633121c
hex189631e0

412496352 has 72 divisors (see below), whose sum is σ = 1224057744. Its totient is φ = 131518464.

The previous prime is 412496341. The next prime is 412496363. The reversal of 412496352 is 253694214.

It is a happy number.

412496352 is a `hidden beast` number, since 4 + 12 + 4 + 9 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (412496341) and next prime (412496363).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24513 + ... + 37760.

It is an arithmetic number, because the mean of its divisors is an integer number (17000802).

Almost surely, 2412496352 is an apocalyptic number.

It is an amenable number.

412496352 is an abundant number, since it is smaller than the sum of its proper divisors (811561392).

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

412496352 is a wasteful number, since it uses less digits than its factorization.

412496352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62312 (or 62301 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 412496352 is about 20310.0062038395. The cubic root of 412496352 is about 744.4005820613.

The spelling of 412496352 in words is "four hundred twelve million, four hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 62273 124546 186819 249092 373638 498184 560457 747276 996368 1120914 1432279 1494552 1992736 2241828 2864558 2989104 4296837 4483656 5729116 5978208 8593674 8967312 11458232 12890511 17187348 17934624 22916464 25781022 34374696 45832928 51562044 68749392 103124088 137498784 206248176 412496352