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413556096 = 2737314753
BaseRepresentation
bin11000101001100…
…101110110000000
31001211011211022110
4120221211312000
51321332243341
6105011535320
713151111622
oct3051456600
91054154273
10413556096
111a24948a8
12b65ba540
13678a9965
143ccd2c12
1526490216
hex18a65d80

413556096 has 64 divisors (see below), whose sum is σ = 1113631920. Its totient is φ = 135954432.

The previous prime is 413556079. The next prime is 413556103. The reversal of 413556096 is 690655314.

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

It is a super-2 number, since 2×4135560962 = 342057289077522432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20656 + ... + 35408.

Almost surely, 2413556096 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 413556096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556815960).

413556096 is an abundant number, since it is smaller than the sum of its proper divisors (700075824).

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

413556096 is a wasteful number, since it uses less digits than its factorization.

413556096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14843 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 413556096 is about 20336.0786780539. The cubic root of 413556096 is about 745.0375165408.

The spelling of 413556096 in words is "four hundred thirteen million, five hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 292 384 438 584 876 1168 1752 2336 3504 4672 7008 9344 14016 14753 28032 29506 44259 59012 88518 118024 177036 236048 354072 472096 708144 944192 1076969 1416288 1888384 2153938 2832576 3230907 4307876 5665152 6461814 8615752 12923628 17231504 25847256 34463008 51694512 68926016 103389024 137852032 206778048 413556096