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29474088 = 2337271353
BaseRepresentation
bin111000001101…
…1110100101000
32001110102211220
41300123310220
530021132323
62531422040
7505345200
oct160336450
961412756
1029474088
1115701356
129a54920
13614c7b7
143cb3400
1528c30e3
hex1c1bd28

29474088 has 96 divisors (see below), whose sum is σ = 87168960. Its totient is φ = 8279040.

The previous prime is 29474077. The next prime is 29474131. The reversal of 29474088 is 88047492.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 83320 + ... + 83672.

It is an arithmetic number, because the mean of its divisors is an integer number (908010).

Almost surely, 229474088 is an apocalyptic number.

29474088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29474088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43584480).

29474088 is an abundant number, since it is smaller than the sum of its proper divisors (57694872).

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

29474088 is a wasteful number, since it uses less digits than its factorization.

29474088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 29474088 is about 5429.0043286039. The cubic root of 29474088 is about 308.8968350947.

The spelling of 29474088 in words is "twenty-nine million, four hundred seventy-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 71 84 98 142 147 168 196 213 284 294 353 392 426 497 568 588 706 852 994 1059 1176 1412 1491 1704 1988 2118 2471 2824 2982 3479 3976 4236 4942 5964 6958 7413 8472 9884 10437 11928 13916 14826 17297 19768 20874 25063 27832 29652 34594 41748 50126 51891 59304 69188 75189 83496 100252 103782 138376 150378 175441 200504 207564 300756 350882 415128 526323 601512 701764 1052646 1228087 1403528 2105292 2456174 3684261 4210584 4912348 7368522 9824696 14737044 29474088