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148214976 = 26371317499
BaseRepresentation
bin10001101010110…
…01010011000000
3101022220002201120
420311121103000
5300420334401
622412432240
73446543430
oct1065312300
9338802646
10148214976
1176733118
1241778680
1324925590
14159822c0
15d02a836
hex8d594c0

148214976 has 224 divisors, whose sum is σ = 512064000. Its totient is φ = 36716544.

The previous prime is 148214971. The next prime is 148214987. The reversal of 148214976 is 679412841.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1482149762 = 43935358221361152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (148214971) 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 31 ways as a sum of consecutive naturals, for example, 296775 + ... + 297273.

It is an arithmetic number, because the mean of its divisors is an integer number (2286000).

Almost surely, 2148214976 is an apocalyptic number.

148214976 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 148214976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256032000).

148214976 is an abundant number, since it is smaller than the sum of its proper divisors (363849024).

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

148214976 is a wasteful number, since it uses less digits than its factorization.

148214976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 541 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 148214976 is about 12174.3573136326. The cubic root of 148214976 is about 529.2132339810.

The spelling of 148214976 in words is "one hundred forty-eight million, two hundred fourteen thousand, nine hundred seventy-six".