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29660496 = 2435389131
BaseRepresentation
bin111000100100…
…1010101010000
32001210220112220
41301021111100
530043113441
62535421040
7510052515
oct161112520
961726486
1029660496
1115819408
129b24780
1361b65b8
143d2130c
15290d466
hex1c49550

29660496 has 80 divisors (see below), whose sum is σ = 79548480. Its totient is φ = 9518080.

The previous prime is 29660473. The next prime is 29660503. The reversal of 29660496 is 69406692.

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, 226351 + ... + 226481.

It is an arithmetic number, because the mean of its divisors is an integer number (994356).

Almost surely, 229660496 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 29660496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39774240).

29660496 is an abundant number, since it is smaller than the sum of its proper divisors (49887984).

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

29660496 is a wasteful number, since it uses less digits than its factorization.

29660496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 29660496 is about 5446.1450586631. The cubic root of 29660496 is about 309.5466700335.

The spelling of 29660496 in words is "twenty-nine million, six hundred sixty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 89 106 131 159 178 212 262 267 318 356 393 424 524 534 636 712 786 848 1048 1068 1272 1424 1572 2096 2136 2544 3144 4272 4717 6288 6943 9434 11659 13886 14151 18868 20829 23318 27772 28302 34977 37736 41658 46636 55544 56604 69954 75472 83316 93272 111088 113208 139908 166632 186544 226416 279816 333264 559632 617927 1235854 1853781 2471708 3707562 4943416 7415124 9886832 14830248 29660496