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29794992 = 243472281
BaseRepresentation
bin111000110101…
…0001010110000
32002001202001020
41301222022300
530111414432
62542335440
7511152603
oct161521260
962052036
1029794992
1115900467
129b8a580
136232896
143d5833a
15293822c
hex1c6a2b0

29794992 has 60 divisors (see below), whose sum is σ = 78922776. Its totient is φ = 9685760.

The previous prime is 29794991. The next prime is 29794993. The reversal of 29794992 is 29949792.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29794991) and next prime (29794993).

It is not an unprimeable number, because it can be changed into a prime (29794991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105892 + ... + 106172.

Almost surely, 229794992 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 29794992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39461388).

29794992 is an abundant number, since it is smaller than the sum of its proper divisors (49127784).

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

29794992 is a wasteful number, since it uses less digits than its factorization.

29794992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 333 counting only the distinct ones).

The product of its digits is 734832, while the sum is 51.

The square root of 29794992 is about 5458.4789090002. The cubic root of 29794992 is about 310.0138460690.

The spelling of 29794992 in words is "twenty-nine million, seven hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 281 282 376 562 564 752 843 1124 1128 1686 2209 2248 2256 3372 4418 4496 6627 6744 8836 13207 13254 13488 17672 26414 26508 35344 39621 52828 53016 79242 105656 106032 158484 211312 316968 620729 633936 1241458 1862187 2482916 3724374 4965832 7448748 9931664 14897496 29794992