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29712942 = 2327317607
BaseRepresentation
bin111000101011…
…0001000101110
32001220120111100
41301112020232
530101303232
62540503530
7510361440
oct161261056
961816440
1029712942
1115854856
129b4aba6
13620442c
143d36490
15291dc7c
hex1c5622e

29712942 has 48 divisors (see below), whose sum is σ = 75958272. Its totient is φ = 8214480.

The previous prime is 29712899. The next prime is 29712983. The reversal of 29712942 is 24921792.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 29712897 and 29712906.

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, 103 + ... + 7709.

It is an arithmetic number, because the mean of its divisors is an integer number (1582464).

Almost surely, 229712942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29712942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37979136).

29712942 is an abundant number, since it is smaller than the sum of its proper divisors (46245330).

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

29712942 is a wasteful number, since it uses less digits than its factorization.

29712942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7653 (or 7650 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 29712942 is about 5450.9578974709. The cubic root of 29712942 is about 309.7290104927.

The spelling of 29712942 in words is "twenty-nine million, seven hundred twelve thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 7607 15214 22821 45642 53249 68463 106498 136926 159747 235817 319494 471634 479241 707451 958482 1414902 1650719 2122353 3301438 4244706 4952157 9904314 14856471 29712942