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96029406 = 232114311279
BaseRepresentation
bin1011011100101…
…00101011011110
320200200210120200
411232110223132
5144040420111
613310124330
72244144054
oct556245336
9220623520
1096029406
114a22a350
12281b06a6
1316b83445
14ca7a1d4
15866d256
hex5b94ade

96029406 has 48 divisors (see below), whose sum is σ = 232277760. Its totient is φ = 28420560.

The previous prime is 96029387. The next prime is 96029407. The reversal of 96029406 is 60492069.

96029406 is a `hidden beast` number, since 9 + 602 + 9 + 40 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96029407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2875 + ... + 14153.

It is an arithmetic number, because the mean of its divisors is an integer number (4839120).

Almost surely, 296029406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96029406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116138880).

96029406 is an abundant number, since it is smaller than the sum of its proper divisors (136248354).

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

96029406 is a wasteful number, since it uses less digits than its factorization.

96029406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11341 (or 11338 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 96029406 is about 9799.4594748894. The cubic root of 96029406 is about 457.9324442861.

The spelling of 96029406 in words is "ninety-six million, twenty-nine thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 2838 4257 8514 11279 22558 33837 67674 101511 124069 203022 248138 372207 484997 744414 969994 1116621 1454991 2233242 2909982 4364973 5334967 8729946 10669934 16004901 32009802 48014703 96029406