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29997252 = 22322959487
BaseRepresentation
bin111001001101…
…1100011000100
32002110000111100
41302123203010
530134403002
62550540100
7512654355
oct162334304
962400440
1029997252
1115a2941a
12a067630
1362a396c
143dabd2c
15297811c
hex1c9b8c4

29997252 has 72 divisors (see below), whose sum is σ = 79934400. Its totient is φ = 9471168.

The previous prime is 29997239. The next prime is 29997263. The reversal of 29997252 is 25279992.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 29997198 and 29997207.

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, 61353 + ... + 61839.

It is an arithmetic number, because the mean of its divisors is an integer number (1110200).

Almost surely, 229997252 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 29997252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39967200).

29997252 is an abundant number, since it is smaller than the sum of its proper divisors (49937148).

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

29997252 is a wasteful number, since it uses less digits than its factorization.

29997252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 580 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 29997252 is about 5476.9747123754. The cubic root of 29997252 is about 310.7137628891.

The spelling of 29997252 in words is "twenty-nine million, nine hundred ninety-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 59 87 116 118 174 177 236 261 348 354 487 522 531 708 974 1044 1062 1461 1711 1948 2124 2922 3422 4383 5133 5844 6844 8766 10266 14123 15399 17532 20532 28246 28733 30798 42369 56492 57466 61596 84738 86199 114932 127107 169476 172398 254214 258597 344796 508428 517194 833257 1034388 1666514 2499771 3333028 4999542 7499313 9999084 14998626 29997252