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29882952 = 23331112577
BaseRepresentation
bin111000111111…
…1101001001000
32002020012201000
41301333221020
530122223302
62544255000
7512000211
oct161775110
962205630
1029882952
1115960560
12a011460
136263928
143d7c408
15295431c
hex1c7fa48

29882952 has 64 divisors (see below), whose sum is σ = 90561600. Its totient is φ = 9054720.

The previous prime is 29882947. The next prime is 29882959. The reversal of 29882952 is 25928892.

It is a junction number, because it is equal to n+sod(n) for n = 29882898 and 29882907.

It is not an unprimeable number, because it can be changed into a prime (29882959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3913 + ... + 8664.

It is an arithmetic number, because the mean of its divisors is an integer number (1415025).

Almost surely, 229882952 is an apocalyptic number.

29882952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29882952 is an abundant number, since it is smaller than the sum of its proper divisors (60678648).

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

29882952 is a wasteful number, since it uses less digits than its factorization.

29882952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12603 (or 12593 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 29882952 is about 5466.5301608973. The cubic root of 29882952 is about 310.3186179552.

The spelling of 29882952 in words is "twenty-nine million, eight hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 12577 25154 37731 50308 75462 100616 113193 138347 150924 226386 276694 301848 339579 415041 452772 553388 679158 830082 905544 1106776 1245123 1358316 1660164 2490246 2716632 3320328 3735369 4980492 7470738 9960984 14941476 29882952