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148465968 = 24371313373
BaseRepresentation
bin10001101100101…
…10100100110000
3101100100212000120
420312112210300
5301001402333
622422050240
73451640250
oct1066264460
9340325016
10148465968
1176894752
1241879980
13249b28b1
1415a09960
15d079db3
hex8d96930

148465968 has 80 divisors (see below), whose sum is σ = 441805056. Its totient is φ = 42082560.

The previous prime is 148465963. The next prime is 148465979. The reversal of 148465968 is 869564841.

It is a self number, because there is not a number n which added to its sum of digits gives 148465968.

It is not an unprimeable number, because it can be changed into a prime (148465963) 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, 42330 + ... + 45702.

Almost surely, 2148465968 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 148465968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220902528).

148465968 is an abundant number, since it is smaller than the sum of its proper divisors (293339088).

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

148465968 is a wasteful number, since it uses less digits than its factorization.

148465968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3516 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 148465968 is about 12184.6611770701. The cubic root of 148465968 is about 529.5117944088.

The spelling of 148465968 in words is "one hundred forty-eight million, four hundred sixty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1048 1572 1834 2096 2751 3144 3373 3668 5502 6288 6746 7336 10119 11004 13492 14672 20238 22008 23611 26984 40476 44016 47222 53968 70833 80952 94444 141666 161904 188888 283332 377776 441863 566664 883726 1133328 1325589 1767452 2651178 3093041 3534904 5302356 6186082 7069808 9279123 10604712 12372164 18558246 21209424 24744328 37116492 49488656 74232984 148465968