Search a number
-
+
49180572 = 22327195161
BaseRepresentation
bin1011101110011…
…0111110011100
310102112122001200
42323212332130
5100042234242
64514035500
71135012410
oct273467634
9112478050
1049180572
1125841101
1214578b90
13a25c43c
146762d40
1544b704c
hex2ee6f9c

49180572 has 36 divisors (see below), whose sum is σ = 142077936. Its totient is φ = 14051520.

The previous prime is 49180567. The next prime is 49180577. The reversal of 49180572 is 27508194.

49180572 is a `hidden beast` number, since 4 + 9 + 1 + 80 + 572 = 666.

It is an interprime number because it is at equal distance from previous prime (49180567) and next prime (49180577).

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

It is a super-3 number, since 3×491805723 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49180577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97329 + ... + 97832.

Almost surely, 249180572 is an apocalyptic number.

49180572 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

49180572 is an abundant number, since it is smaller than the sum of its proper divisors (92897364).

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

49180572 is a wasteful number, since it uses less digits than its factorization.

49180572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195178 (or 195173 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 49180572 is about 7012.8861391014. The cubic root of 49180572 is about 366.3795221134.

The spelling of 49180572 in words is "forty-nine million, one hundred eighty thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 195161 390322 585483 780644 1170966 1366127 1756449 2341932 2732254 3512898 4098381 5464508 7025796 8196762 12295143 16393524 24590286 49180572