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413063552 = 27111717257
BaseRepresentation
bin11000100111101…
…101100110000000
31001210020210200002
4120213231212000
51321221013202
6104553215132
713143660626
oct3047554600
91053223602
10413063552
111a2188840
12b64014a8
1367766705
143cc05516
15263e4302
hex189ed980

413063552 has 64 divisors (see below), whose sum is σ = 950570640. Its totient is φ = 176701440.

The previous prime is 413063551. The next prime is 413063593. The reversal of 413063552 is 255360314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413063551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15308 + ... + 32564.

Almost surely, 2413063552 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 413063552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475285320).

413063552 is an abundant number, since it is smaller than the sum of its proper divisors (537507088).

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

413063552 is a wasteful number, since it uses less digits than its factorization.

413063552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17299 (or 17287 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 413063552 is about 20323.9649674959. The cubic root of 413063552 is about 744.7416199319.

The spelling of 413063552 in words is "four hundred thirteen million, sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 11968 17257 23936 34514 69028 138056 189827 276112 293369 379654 552224 586738 759308 1104448 1173476 1518616 2208896 2346952 3037232 3227059 4693904 6074464 6454118 9387808 12148928 12908236 18775616 24297856 25816472 37551232 51632944 103265888 206531776 413063552