Search a number
-
+
112947552 = 25321920641
BaseRepresentation
bin1101011101101…
…11000101100000
321212112022220200
412232313011200
5212403310202
615112505200
72541016104
oct656670540
9255468820
10112947552
1158835193
12319ab200
131a527b93
1411001904
159db0e1c
hex6bb7160

112947552 has 72 divisors (see below), whose sum is σ = 338115960. Its totient is φ = 35665920.

The previous prime is 112947551. The next prime is 112947557. The reversal of 112947552 is 255749211.

112947552 is a `hidden beast` number, since 1 + 12 + 94 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (112947551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4849 + ... + 15792.

It is an arithmetic number, because the mean of its divisors is an integer number (4696055).

Almost surely, 2112947552 is an apocalyptic number.

112947552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112947552 is an abundant number, since it is smaller than the sum of its proper divisors (225168408).

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

112947552 is a wasteful number, since it uses less digits than its factorization.

112947552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20676 (or 20665 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 112947552 is about 10627.6785800098. The cubic root of 112947552 is about 483.3840033548.

The spelling of 112947552 in words is "one hundred twelve million, nine hundred forty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 20641 41282 61923 82564 123846 165128 185769 247692 330256 371538 392179 495384 660512 743076 784358 990768 1176537 1486152 1568716 1981536 2353074 2972304 3137432 3529611 4706148 5944608 6274864 7059222 9412296 12549728 14118444 18824592 28236888 37649184 56473776 112947552