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29614208 = 27132372
BaseRepresentation
bin111000011111…
…0000010000000
32001201120001112
41300332002000
530040123313
62534422452
7506500541
oct160760200
961646045
1029614208
1115797658
129b01a28
13619b500
143d0c4c8
1528ee8a8
hex1c3e080

29614208 has 72 divisors (see below), whose sum is σ = 65657655. Its totient is φ = 13298688.

The previous prime is 29614199. The next prime is 29614213. The reversal of 29614208 is 80241692.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 16711744 + 12902464 = 4088^2 + 3592^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3848.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 800366 + ... + 800402.

Almost surely, 229614208 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 29614208

29614208 is an abundant number, since it is smaller than the sum of its proper divisors (36043447).

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

29614208 is an equidigital number, since it uses as much as digits as its factorization.

29614208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 29614208 is about 5441.8937880117. The cubic root of 29614208 is about 309.3855606095.

Multiplying 29614208 by its sum of digits (32), we get a square (947654656 = 307842).

29614208 divided by its sum of digits (32) gives a square (925444 = 9622).

The spelling of 29614208 in words is "twenty-nine million, six hundred fourteen thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 169 208 296 338 416 481 592 676 832 962 1184 1352 1369 1664 1924 2368 2704 2738 3848 4736 5408 5476 6253 7696 10816 10952 12506 15392 17797 21632 21904 25012 30784 35594 43808 50024 61568 71188 87616 100048 142376 175232 200096 231361 284752 400192 462722 569504 800384 925444 1139008 1850888 2278016 3701776 7403552 14807104 29614208