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148408768 = 2679149197
BaseRepresentation
bin10001101100010…
…00100111000000
3101100020221120001
420312020213000
5300443040033
622420525344
73451311424
oct1066104700
9340227501
10148408768
1176855782
1241850854
1324992851
14159d2b84
15d067e7d
hex8d889c0

148408768 has 56 divisors (see below), whose sum is σ = 301752000. Its totient is φ = 72403968.

The previous prime is 148408709. The next prime is 148408769. The reversal of 148408768 is 867804841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148408769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 753246 + ... + 753442.

Almost surely, 2148408768 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 148408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150876000).

148408768 is an abundant number, since it is smaller than the sum of its proper divisors (153343232).

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

148408768 is a wasteful number, since it uses less digits than its factorization.

148408768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 148408768 is about 12182.3137375459. The cubic root of 148408768 is about 529.4437833900.

The spelling of 148408768 in words is "one hundred forty-eight million, four hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 79 149 158 197 298 316 394 596 632 788 1192 1264 1576 2384 2528 3152 4768 5056 6304 9536 11771 12608 15563 23542 29353 31126 47084 58706 62252 94168 117412 124504 188336 234824 249008 376672 469648 498016 753344 939296 996032 1878592 2318887 4637774 9275548 18551096 37102192 74204384 148408768