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48148632 = 23327831151
BaseRepresentation
bin1011011110101…
…1000010011000
310100121012111200
42313223002120
544311224012
64435554200
71123154010
oct267530230
9110535450
1048148632
11251a6864
121415b960
139c8a81c
146574c40
1543613dc
hex2deb098

48148632 has 96 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 13579200.

The previous prime is 48148631. The next prime is 48148643. The reversal of 48148632 is 23684184.

48148632 is a `hidden beast` number, since 4 + 8 + 14 + 8 + 632 = 666.

48148632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48148631) 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, 41257 + ... + 42407.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 248148632 is an apocalyptic number.

48148632 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 48148632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

48148632 is an abundant number, since it is smaller than the sum of its proper divisors (102809448).

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

48148632 is a wasteful number, since it uses less digits than its factorization.

48148632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1246 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 48148632 is about 6938.9215300362. The cubic root of 48148632 is about 363.7988463117.

The spelling of 48148632 in words is "forty-eight million, one hundred forty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1151 1162 1494 1743 1992 2302 2324 2988 3453 3486 4604 4648 5229 5976 6906 6972 8057 9208 10359 10458 13812 13944 16114 20718 20916 24171 27624 32228 41436 41832 48342 64456 72513 82872 95533 96684 145026 191066 193368 286599 290052 382132 573198 580104 668731 764264 859797 1146396 1337462 1719594 2006193 2292792 2674924 3439188 4012386 5349848 6018579 6878376 8024772 12037158 16049544 24074316 48148632