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148982496 = 253131961103
BaseRepresentation
bin10001110000101…
…00101011100000
3101101100002120020
420320110223200
5301114414441
622441113440
73456221205
oct1070245340
9341302506
10148982496
1177107833
1241a88880
1324b33a30
1415b01cac
15d12ce66
hex8e14ae0

148982496 has 192 divisors, whose sum is σ = 454970880. Its totient is φ = 42301440.

The previous prime is 148982453. The next prime is 148982503. The reversal of 148982496 is 694289841.

It is a super-2 number, since 2×1489824962 = 44391568228780032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446381 + ... + 1446483.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2148982496 is an apocalyptic number.

148982496 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 148982496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

148982496 is an abundant number, since it is smaller than the sum of its proper divisors (305988384).

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

148982496 is a wasteful number, since it uses less digits than its factorization.

148982496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 148982496 is about 12205.8386028982. The cubic root of 148982496 is about 530.1251585276.

The spelling of 148982496 in words is "one hundred forty-eight million, nine hundred eighty-two thousand, four hundred ninety-six".