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148938336 = 2532587881
BaseRepresentation
bin10001110000010…
…01111001100000
3101101020211222200
420320021321200
5301112011321
622440133200
73455645361
oct1070117140
9341224880
10148938336
1177087638
1241a67200
1324b198c1
1415acdb68
15d11ed26
hex8e09e60

148938336 has 72 divisors (see below), whose sum is σ = 424746504. Its totient is φ = 49505280.

The previous prime is 148938331. The next prime is 148938341. The reversal of 148938336 is 633839841.

148938336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148938331) and next prime (148938341).

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 148938291 and 148938300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148938331) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 168616 + ... + 169496.

It is an arithmetic number, because the mean of its divisors is an integer number (5899257).

Almost surely, 2148938336 is an apocalyptic number.

148938336 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 148938336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212373252).

148938336 is an abundant number, since it is smaller than the sum of its proper divisors (275808168).

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

148938336 is a wasteful number, since it uses less digits than its factorization.

148938336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1473 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 148938336 is about 12204.0294984894. The cubic root of 148938336 is about 530.0727751022.

The spelling of 148938336 in words is "one hundred forty-eight million, nine hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 587 881 1174 1761 1762 2348 2643 3522 3524 4696 5283 5286 7044 7048 7929 9392 10566 10572 14088 14096 15858 18784 21132 21144 28176 28192 31716 42264 42288 56352 63432 84528 84576 126864 169056 253728 517147 1034294 1551441 2068588 3102882 4137176 4654323 6205764 8274352 9308646 12411528 16548704 18617292 24823056 37234584 49646112 74469168 148938336