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148672032 = 2533149957
BaseRepresentation
bin10001101110010…
…00111000100000
3101100202022200120
420313020320200
5301030001112
622430320240
73453456105
oct1067107040
9340668616
10148672032
1176a15553
1241959080
1324a55622
1415a60aac
15d0bae8c
hex8dc8e20

148672032 has 48 divisors (see below), whose sum is σ = 402861312. Its totient is φ = 47957760.

The previous prime is 148672003. The next prime is 148672057. The reversal of 148672032 is 230276841.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 148671984 and 148672002.

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 7 ways as a sum of consecutive naturals, for example, 22003 + ... + 27954.

It is an arithmetic number, because the mean of its divisors is an integer number (8392944).

Almost surely, 2148672032 is an apocalyptic number.

148672032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148672032 is an abundant number, since it is smaller than the sum of its proper divisors (254189280).

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

148672032 is a wasteful number, since it uses less digits than its factorization.

148672032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50001 (or 49993 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 148672032 is about 12193.1141223233. The cubic root of 148672032 is about 529.7566605720.

The spelling of 148672032 in words is "one hundred forty-eight million, six hundred seventy-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 49957 99914 149871 199828 299742 399656 599484 799312 1198968 1548667 1598624 2397936 3097334 4646001 4795872 6194668 9292002 12389336 18584004 24778672 37168008 49557344 74336016 148672032