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148453536 = 253721119151
BaseRepresentation
bin10001101100100…
…11100010100000
3101100100012222010
420312103202200
5301001003121
622421512520
73451556100
oct1066234240
9340305863
10148453536
1176886380
1241872740
13249aa03a
1415a05200
15d076376
hex8d938a0

148453536 has 288 divisors, whose sum is σ = 523998720. Its totient is φ = 36288000.

The previous prime is 148453511. The next prime is 148453567. The reversal of 148453536 is 635354841.

It is a junction number, because it is equal to n+sod(n) for n = 148453494 and 148453503.

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 47 ways as a sum of consecutive naturals, for example, 983061 + ... + 983211.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 2148453536 is an apocalyptic number.

148453536 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 148453536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261999360).

148453536 is an abundant number, since it is smaller than the sum of its proper divisors (375545184).

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

148453536 is a wasteful number, since it uses less digits than its factorization.

148453536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 148453536 is about 12184.1510167923. The cubic root of 148453536 is about 529.4970141992.

It can be divided in two parts, 14845 and 3536, that added together give a palindrome (18381).

The spelling of 148453536 in words is "one hundred forty-eight million, four hundred fifty-three thousand, five hundred thirty-six".