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48134772 = 22327251761
BaseRepresentation
bin1011011110011…
…1101001110100
310100120111111100
42313213221310
544310303042
64435410100
71123065420
oct267475164
9110514440
1048134772
1125197404
1214153930
139c8441a
14656db80
15435c24c
hex2de7a74

48134772 has 72 divisors (see below), whose sum is σ = 139793472. Its totient is φ = 13680000.

The previous prime is 48134767. The next prime is 48134777. The reversal of 48134772 is 27743184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48134767) and next prime (48134777).

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 (48134777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62872 + ... + 63632.

It is an arithmetic number, because the mean of its divisors is an integer number (1941576).

Almost surely, 248134772 is an apocalyptic number.

48134772 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 48134772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69896736).

48134772 is an abundant number, since it is smaller than the sum of its proper divisors (91658700).

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

48134772 is a wasteful number, since it uses less digits than its factorization.

48134772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1024 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 48134772 is about 6937.9227438766. The cubic root of 48134772 is about 363.7639354140.

It can be divided in two parts, 481 and 34772, that added together give a palindrome (35253).

The spelling of 48134772 in words is "forty-eight million, one hundred thirty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 251 252 502 753 761 1004 1506 1522 1757 2259 2283 3012 3044 3514 4518 4566 5271 5327 6849 7028 9036 9132 10542 10654 13698 15813 15981 21084 21308 27396 31626 31962 47943 63252 63924 95886 191011 191772 382022 573033 764044 1146066 1337077 1719099 2292132 2674154 3438198 4011231 5348308 6876396 8022462 12033693 16044924 24067386 48134772