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148620648 = 233111673371
BaseRepresentation
bin10001101101111…
…00010101101000
3101100122201012110
420312330111220
5301021330043
622425242320
73453153231
oct1066742550
9340581173
10148620648
117698a990
12419333a0
1324a38117
1415a4a088
15d0aab33
hex8dbc568

148620648 has 64 divisors (see below), whose sum is σ = 407877120. Its totient is φ = 44753600.

The previous prime is 148620611. The next prime is 148620649. The reversal of 148620648 is 846026841.

148620648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (148620649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42403 + ... + 45773.

It is an arithmetic number, because the mean of its divisors is an integer number (6373080).

Almost surely, 2148620648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148620648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203938560).

148620648 is an abundant number, since it is smaller than the sum of its proper divisors (259256472).

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

148620648 is a wasteful number, since it uses less digits than its factorization.

148620648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 148620648 is about 12191.0068493131. The cubic root of 148620648 is about 529.6956220733.

The spelling of 148620648 in words is "one hundred forty-eight million, six hundred twenty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 167 264 334 501 668 1002 1336 1837 2004 3371 3674 4008 5511 6742 7348 10113 11022 13484 14696 20226 22044 26968 37081 40452 44088 74162 80904 111243 148324 222486 296648 444972 562957 889944 1125914 1688871 2251828 3377742 4503656 6192527 6755484 12385054 13510968 18577581 24770108 37155162 49540216 74310324 148620648