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29675142 = 2327475011
BaseRepresentation
bin111000100110…
…0111010000110
32001211122122100
41301030322012
530044101032
62540012530
7510143310
oct161147206
961748570
1029675142
1115829412
129b31146
1361c0173
143d267b0
15291297c
hex1c4ce86

29675142 has 48 divisors (see below), whose sum is σ = 75059712. Its totient is φ = 8296560.

The previous prime is 29675137. The next prime is 29675197. The reversal of 29675142 is 24157692.

It is a super-2 number, since 2×296751422 = 1761228105440328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29675097 and 29675106.

It is a congruent number.

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, 3417 + ... + 8427.

It is an arithmetic number, because the mean of its divisors is an integer number (1563744).

Almost surely, 229675142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29675142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37529856).

29675142 is an abundant number, since it is smaller than the sum of its proper divisors (45384570).

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

29675142 is a wasteful number, since it uses less digits than its factorization.

29675142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5070 counting only the distinct ones).

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

The square root of 29675142 is about 5447.4895135282. The cubic root of 29675142 is about 309.5976118038.

The spelling of 29675142 in words is "twenty-nine million, six hundred seventy-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1974 2961 5011 5922 10022 15033 30066 35077 45099 70154 90198 105231 210462 235517 315693 471034 631386 706551 1413102 1648619 2119653 3297238 4239306 4945857 9891714 14837571 29675142