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148945408 = 291961251
BaseRepresentation
bin10001110000010…
…11101000000000
3101101021012200121
420320023220000
5301112223113
622440230024
73456005113
oct1070135000
9341235617
10148945408
1177091987
1241a6b314
1324b1cba1
1415ad257a
15d121e8d
hex8e0ba00

148945408 has 80 divisors (see below), whose sum is σ = 319667040. Its totient is φ = 69120000.

The previous prime is 148945403. The next prime is 148945439. The reversal of 148945408 is 804549841.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (148945403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593283 + ... + 593533.

It is an arithmetic number, because the mean of its divisors is an integer number (3995838).

Almost surely, 2148945408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159833520).

148945408 is an abundant number, since it is smaller than the sum of its proper divisors (170721632).

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

148945408 is an equidigital number, since it uses as much as digits as its factorization.

148945408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 148945408 is about 12204.3192354183. The cubic root of 148945408 is about 530.0811647383.

It can be divided in two parts, 14894 and 5408, that added together give a palindrome (20302).

The spelling of 148945408 in words is "one hundred forty-eight million, nine hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 251 256 304 488 502 512 608 976 1004 1159 1216 1952 2008 2318 2432 3904 4016 4636 4769 4864 7808 8032 9272 9538 9728 15311 15616 16064 18544 19076 30622 31232 32128 37088 38152 61244 64256 74176 76304 122488 128512 148352 152608 244976 290909 296704 305216 489952 581818 593408 610432 979904 1163636 1220864 1959808 2327272 2441728 3919616 4654544 7839232 9309088 18618176 37236352 74472704 148945408