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412101252 = 223229394733
BaseRepresentation
bin11000100100000…
…010101010000100
31001201102220122100
4120210002222010
51320444220002
6104520432100
713132542243
oct3044025204
91051386570
10412101252
111a1690852
12b6018630
13674ba6c4
143ca3495a
15262a411c
hex18902a84

412101252 has 36 divisors (see below), whose sum is σ = 1077623820. Its totient is φ = 132629952.

The previous prime is 412101251. The next prime is 412101257. The reversal of 412101252 is 252101214.

412101252 is a `hidden beast` number, since 412 + 1 + 0 + 1 + 252 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92621376 + 319479876 = 9624^2 + 17874^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (412101251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196323 + ... + 198410.

It is an arithmetic number, because the mean of its divisors is an integer number (29933995).

Almost surely, 2412101252 is an apocalyptic number.

It is an amenable number.

412101252 is an abundant number, since it is smaller than the sum of its proper divisors (665522568).

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

412101252 is a wasteful number, since it uses less digits than its factorization.

412101252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394772 (or 394767 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 412101252 is about 20300.2771409653. The cubic root of 412101252 is about 744.1628372331.

Adding to 412101252 its reverse (252101214), we get a palindrome (664202466).

The spelling of 412101252 in words is "four hundred twelve million, one hundred one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 394733 789466 1184199 1578932 2368398 3552597 4736796 7105194 11447257 14210388 22894514 34341771 45789028 68683542 103025313 137367084 206050626 412101252