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48340152 = 2334710657
BaseRepresentation
bin1011100001100…
…1110010111000
310100221221020000
42320121302320
544333341102
64444033000
71124612250
oct270316270
9110857200
1048340152
1125317743
1214232760
13a026a53
1465c4960
15439d01c
hex2e19cb8

48340152 has 80 divisors (see below), whose sum is σ = 154754160. Its totient is φ = 13810176.

The previous prime is 48340151. The next prime is 48340183. The reversal of 48340152 is 25104384.

48340152 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48340151) 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 19 ways as a sum of consecutive naturals, for example, 793 + ... + 9864.

It is an arithmetic number, because the mean of its divisors is an integer number (1934427).

Almost surely, 248340152 is an apocalyptic number.

48340152 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 48340152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77377080).

48340152 is an abundant number, since it is smaller than the sum of its proper divisors (106414008).

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

48340152 is a wasteful number, since it uses less digits than its factorization.

48340152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10669 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48340152 is about 6952.7082493083. The cubic root of 48340152 is about 364.2805670059.

The spelling of 48340152 in words is "forty-eight million, three hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 10657 21314 31971 42628 63942 74599 85256 95913 127884 149198 191826 223797 255768 287739 298396 383652 447594 575478 596792 671391 767304 863217 895188 1150956 1342782 1726434 1790376 2014173 2301912 2685564 3452868 4028346 5371128 6042519 6905736 8056692 12085038 16113384 24170076 48340152