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29750328 = 2334311481
BaseRepresentation
bin111000101111…
…1010000111000
32001222110210000
41301133100320
530104002303
62541353000
7510605436
oct161372070
961873700
1029750328
111587a953
129b68760
13621845a
143d45d56
152929da3
hex1c5f438

29750328 has 80 divisors (see below), whose sum is σ = 86074560. Its totient is φ = 9590400.

The previous prime is 29750311. The next prime is 29750353. The reversal of 29750328 is 82305792.

It is a happy number.

It is a super-2 number, since 2×297503282 = 1770164032215168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 29750292 and 29750301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19348 + ... + 20828.

It is an arithmetic number, because the mean of its divisors is an integer number (1075932).

Almost surely, 229750328 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 29750328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43037280).

29750328 is an abundant number, since it is smaller than the sum of its proper divisors (56324232).

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

29750328 is a wasteful number, since it uses less digits than its factorization.

29750328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 29750328 is about 5454.3861249457. The cubic root of 29750328 is about 309.8588604817.

It can be divided in two parts, 297 and 50328, that added together give a 4-th power (50625 = 154).

The spelling of 29750328 in words is "twenty-nine million, seven hundred fifty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1481 1674 2232 2511 2962 3348 4443 5022 5924 6696 8886 10044 11848 13329 17772 20088 26658 35544 39987 45911 53316 79974 91822 106632 119961 137733 159948 183644 239922 275466 319896 367288 413199 479844 550932 826398 959688 1101864 1239597 1652796 2479194 3305592 3718791 4958388 7437582 9916776 14875164 29750328