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413534052 = 223337239433
BaseRepresentation
bin11000101001100…
…000011101100100
31001211010201002000
4120221200131210
51321331042202
6105011245300
713150660431
oct3051403544
91054121060
10413534052
111a247a288
12b65a9830
136789c909
143ccc8b88
152648891c
hex18a60764

413534052 has 96 divisors (see below), whose sum is σ = 1108262400. Its totient is φ = 133249536.

The previous prime is 413534041. The next prime is 413534063. The reversal of 413534052 is 250435314.

It is an interprime number because it is at equal distance from previous prime (413534041) and next prime (413534063).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954828 + ... + 955260.

It is an arithmetic number, because the mean of its divisors is an integer number (11544400).

Almost surely, 2413534052 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 413534052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554131200).

413534052 is an abundant number, since it is smaller than the sum of its proper divisors (694728348).

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

413534052 is a wasteful number, since it uses less digits than its factorization.

413534052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 413534052 is about 20335.5366784356. The cubic root of 413534052 is about 745.0242785956.

Adding to 413534052 its reverse (250435314), we get a palindrome (663969366).

The spelling of 413534052 in words is "four hundred thirteen million, five hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 239 333 433 444 478 666 717 866 956 999 1299 1332 1434 1732 1998 2151 2598 2868 3897 3996 4302 5196 6453 7794 8604 8843 11691 12906 15588 16021 17686 23382 25812 26529 32042 35372 46764 48063 53058 64084 79587 96126 103487 106116 144189 159174 192252 206974 238761 288378 310461 318348 413948 432567 477522 576756 620922 865134 931383 955044 1241844 1730268 1862766 2794149 3725532 3829019 5588298 7658038 11176596 11487057 15316076 22974114 34461171 45948228 68922342 103383513 137844684 206767026 413534052