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49188132 = 22327474153
BaseRepresentation
bin1011101110100…
…0110100100100
310102120000102200
42323220310210
5100043010012
64514134500
71135043430
oct273506444
9112500380
1049188132
1125846854
1214581430
13a262a06
1467659c0
1544b93dc
hex2ee8d24

49188132 has 72 divisors (see below), whose sum is σ = 145157376. Its totient is φ = 13751424.

The previous prime is 49188119. The next prime is 49188137. The reversal of 49188132 is 23188194.

49188132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 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 (49188137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9768 + ... + 13920.

Almost surely, 249188132 is an apocalyptic number.

49188132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49188132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72578688).

49188132 is an abundant number, since it is smaller than the sum of its proper divisors (95969244).

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

49188132 is a wasteful number, since it uses less digits than its factorization.

49188132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4212 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 49188132 is about 7013.4251261420. The cubic root of 49188132 is about 366.3982943451.

The spelling of 49188132 in words is "forty-nine million, one hundred eighty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 4153 5922 8306 11844 12459 16612 24918 29071 37377 49836 58142 74754 87213 116284 149508 174426 195191 261639 348852 390382 523278 585573 780764 1046556 1171146 1366337 1756719 2342292 2732674 3513438 4099011 5465348 7026876 8198022 12297033 16396044 24594066 49188132