Search a number
-
+
29406396 = 22317473067
BaseRepresentation
bin111000000101…
…1010010111100
32001022222222210
41300023102330
530012001041
62530140420
7504643635
oct160132274
961288883
1029406396
1115665508
129a21710
136127a46
143c9688c
1528ad016
hex1c0b4bc

29406396 has 48 divisors (see below), whose sum is σ = 74221056. Its totient is φ = 9026304.

The previous prime is 29406373. The next prime is 29406409. The reversal of 29406396 is 69360492.

It is a happy number.

It is a super-2 number, since 2×294063962 = 1729472251417632, 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 15 ways as a sum of consecutive naturals, for example, 8055 + ... + 11121.

It is an arithmetic number, because the mean of its divisors is an integer number (1546272).

Almost surely, 229406396 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 29406396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37110528).

29406396 is an abundant number, since it is smaller than the sum of its proper divisors (44814660).

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

29406396 is a wasteful number, since it uses less digits than its factorization.

29406396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 29406396 is about 5422.7664526513. The cubic root of 29406396 is about 308.6601766822.

The spelling of 29406396 in words is "twenty-nine million, four hundred six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 1598 2397 3067 3196 4794 6134 9201 9588 12268 18402 36804 52139 104278 144149 156417 208556 288298 312834 432447 576596 625668 864894 1729788 2450533 4901066 7351599 9802132 14703198 29406396