Search a number
-
+
29735172 = 22321575261
BaseRepresentation
bin111000101101…
…1100100000100
32001221200222200
41301123210010
530103011142
62541154500
7510513315
oct161334404
961850880
1029735172
111586a525
129b5ba30
13621159c
143d4060c
15292564c
hex1c5b904

29735172 has 36 divisors (see below), whose sum is σ = 75657036. Its totient is φ = 9846720.

The previous prime is 29735137. The next prime is 29735183. The reversal of 29735172 is 27153792.

It can be written as a sum of positive squares in 2 ways, for example, as 15492096 + 14243076 = 3936^2 + 3774^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 3022 + ... + 8282.

Almost surely, 229735172 is an apocalyptic number.

It is an amenable number.

29735172 is an abundant number, since it is smaller than the sum of its proper divisors (45921864).

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

29735172 is a wasteful number, since it uses less digits than its factorization.

29735172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5428 (or 5423 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 29735172 is about 5452.9966073710. The cubic root of 29735172 is about 309.8062334026.

The spelling of 29735172 in words is "twenty-nine million, seven hundred thirty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5261 5652 10522 15783 21044 31566 47349 63132 94698 189396 825977 1651954 2477931 3303908 4955862 7433793 9911724 14867586 29735172