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148412736 = 26363181
BaseRepresentation
bin10001101100010…
…01100101000000
3101100021011000000
420312021211000
5300443201421
622421000000
73451326123
oct1066114500
9340234000
10148412736
117685875a
1241853000
13249945b4
14159d43ba
15d069226
hex8d89940

148412736 has 98 divisors (see below), whose sum is σ = 441696602. Its totient is φ = 49455360.

The previous prime is 148412713. The next prime is 148412753. The reversal of 148412736 is 637214841.

It can be written as a sum of positive squares in only one way, i.e., 94478400 + 53934336 = 9720^2 + 7344^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 148412736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45066 + ... + 48246.

Almost surely, 2148412736 is an apocalyptic number.

148412736 is a gapful number since it is divisible by the number (16) 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 148412736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220848301).

148412736 is an abundant number, since it is smaller than the sum of its proper divisors (293283866).

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

148412736 is an frugal number, since it uses more digits than its factorization.

148412736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3186 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 148412736 is about 12182.4765955039. The cubic root of 148412736 is about 529.4485019212.

The spelling of 148412736 in words is "one hundred forty-eight million, four hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3181 3888 5184 5832 6362 7776 9543 11664 12724 15552 19086 23328 25448 28629 38172 46656 50896 57258 76344 85887 101792 114516 152688 171774 203584 229032 257661 305376 343548 458064 515322 610752 687096 772983 916128 1030644 1374192 1545966 1832256 2061288 2318949 2748384 3091932 4122576 4637898 5496768 6183864 8245152 9275796 12367728 16490304 18551592 24735456 37103184 49470912 74206368 148412736