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29661954 = 23742971
BaseRepresentation
bin111000100100…
…1101100000010
32001210222112220
41301021230002
530043140304
62535431510
7510060000
oct161115402
961728486
1029661954
111581a513
129b25596
1361b716a
143d21a70
15290dad9
hex1c49b02

29661954 has 80 divisors (see below), whose sum is σ = 72601920. Its totient is φ = 8067360.

The previous prime is 29661953. The next prime is 29661967. The reversal of 29661954 is 45916692.

It is a happy number.

It is a super-4 number, since 4×296619544 (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (29661953) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417739 + ... + 417809.

It is an arithmetic number, because the mean of its divisors is an integer number (907524).

Almost surely, 229661954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29661954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36300960).

29661954 is an abundant number, since it is smaller than the sum of its proper divisors (42939966).

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

29661954 is an equidigital number, since it uses as much as digits as its factorization.

29661954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 29661954 is about 5446.2789131663. The cubic root of 29661954 is about 309.5517420059.

The spelling of 29661954 in words is "twenty-nine million, six hundred sixty-one thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 71 87 98 142 147 174 203 213 294 343 406 426 497 609 686 994 1029 1218 1421 1491 2058 2059 2401 2842 2982 3479 4118 4263 4802 6177 6958 7203 8526 9947 10437 12354 14406 14413 19894 20874 24353 28826 29841 43239 48706 59682 69629 73059 86478 100891 139258 146118 170471 201782 208887 302673 340942 417774 511413 605346 706237 1022826 1412474 2118711 4237422 4943659 9887318 14830977 29661954