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148513338 = 236372753
BaseRepresentation
bin10001101101000…
…10001000111010
3101100110021000000
420312202020322
5301004411323
622423053430
73452225331
oct1066421072
9340407000
10148513338
11769172a6
12418a1276
13249cb31c
1415a1cd18
15d088e43
hex8da223a

148513338 has 56 divisors (see below), whose sum is σ = 343153908. Its totient is φ = 48148992.

The previous prime is 148513319. The next prime is 148513363. The reversal of 148513338 is 833315841.

It can be written as a sum of positive squares in 2 ways, for example, as 116057529 + 32455809 = 10773^2 + 5697^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 52570 + ... + 55322.

Almost surely, 2148513338 is an apocalyptic number.

148513338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148513338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171576954).

148513338 is an abundant number, since it is smaller than the sum of its proper divisors (194640570).

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

148513338 is an equidigital number, since it uses as much as digits as its factorization.

148513338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2795 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 148513338 is about 12186.6048594348. The cubic root of 148513338 is about 529.5681042977.

The spelling of 148513338 in words is "one hundred forty-eight million, five hundred thirteen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 729 999 1458 1998 2753 2997 5506 5994 8259 8991 16518 17982 24777 26973 49554 53946 74331 101861 148662 203722 222993 305583 445986 611166 668979 916749 1337958 1833498 2006937 2750247 4013874 5500494 8250741 16501482 24752223 49504446 74256669 148513338