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29856690 = 23251572113
BaseRepresentation
bin111000111100…
…1001110110010
32002011212200100
41301321032302
530120403230
62543533230
7511530513
oct161711662
962155610
1029856690
1115942856
129bba216
1362549a6
143d72a0a
15294b660
hex1c793b2

29856690 has 48 divisors (see below), whose sum is σ = 78158808. Its totient is φ = 7907328.

The previous prime is 29856679. The next prime is 29856719. The reversal of 29856690 is 9665892.

It can be written as a sum of positive squares in 4 ways, for example, as 10169721 + 19686969 = 3189^2 + 4437^2 .

It is a super-2 number, since 2×298566902 = 1782843875512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13074 + ... + 15186.

Almost surely, 229856690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29856690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39079404).

29856690 is an abundant number, since it is smaller than the sum of its proper divisors (48302118).

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

29856690 is a wasteful number, since it uses less digits than its factorization.

29856690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 29856690 is about 5464.1275607365. The cubic root of 29856690 is about 310.2276856618.

The spelling of 29856690 in words is "twenty-nine million, eight hundred fifty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2113 2355 2826 4226 4710 6339 7065 10565 12678 14130 19017 21130 31695 38034 63390 95085 190170 331741 663482 995223 1658705 1990446 2985669 3317410 4976115 5971338 9952230 14928345 29856690