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29892928 = 2613193161
BaseRepresentation
bin111001000001…
…0000101000000
32002020201101111
41302002011000
530123033203
62544413104
7512041252
oct162020500
962221344
1029892928
1115967aaa
12a017194
136268330
143d81cd2
15295726d
hex1c82140

29892928 has 112 divisors (see below), whose sum is σ = 70551040. Its totient is φ = 12441600.

The previous prime is 29892913. The next prime is 29892931. The reversal of 29892928 is 82929892.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490018 + ... + 490078.

It is an arithmetic number, because the mean of its divisors is an integer number (629920).

Almost surely, 229892928 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 29892928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35275520).

29892928 is an abundant number, since it is smaller than the sum of its proper divisors (40658112).

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

29892928 is a wasteful number, since it uses less digits than its factorization.

29892928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 373248, while the sum is 49.

The square root of 29892928 is about 5467.4425465660. The cubic root of 29892928 is about 310.3531459374.

The spelling of 29892928 in words is "twenty-nine million, eight hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 61 62 64 76 104 122 124 152 208 244 247 248 304 403 416 488 494 496 589 608 793 806 832 976 988 992 1159 1178 1216 1586 1612 1891 1952 1976 1984 2318 2356 3172 3224 3782 3904 3952 4636 4712 6344 6448 7564 7657 7904 9272 9424 12688 12896 15067 15128 15314 15808 18544 18848 24583 25376 25792 30134 30256 30628 35929 37088 37696 49166 50752 60268 60512 61256 71858 74176 98332 120536 121024 122512 143716 196664 241072 245024 287432 393328 467077 482144 490048 574864 786656 934154 964288 1149728 1573312 1868308 2299456 3736616 7473232 14946464 29892928