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148096608 = 25311592377
BaseRepresentation
bin10001101001111…
…00011001100000
3101022200002100120
420310330121200
5300403042413
622410120240
73445541352
oct1064743140
9338602316
10148096608
11766621a0
1241720080
13248b373a
14159510d2
15d005723
hex8d3c660

148096608 has 96 divisors (see below), whose sum is σ = 431464320. Its totient is φ = 44098560.

The previous prime is 148096567. The next prime is 148096657. The reversal of 148096608 is 806690841.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1480966083 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 148096608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61116 + ... + 63492.

It is an arithmetic number, because the mean of its divisors is an integer number (4494420).

Almost surely, 2148096608 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 148096608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215732160).

148096608 is an abundant number, since it is smaller than the sum of its proper divisors (283367712).

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

148096608 is a wasteful number, since it uses less digits than its factorization.

148096608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 148096608 is about 12169.4949771961. The cubic root of 148096608 is about 529.0723157082.

The spelling of 148096608 in words is "one hundred forty-eight million, ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 66 88 96 118 132 176 177 236 264 352 354 472 528 649 708 944 1056 1298 1416 1888 1947 2377 2596 2832 3894 4754 5192 5664 7131 7788 9508 10384 14262 15576 19016 20768 26147 28524 31152 38032 52294 57048 62304 76064 78441 104588 114096 140243 156882 209176 228192 280486 313764 418352 420729 560972 627528 836704 841458 1121944 1255056 1542673 1682916 2243888 2510112 3085346 3365832 4487776 4628019 6170692 6731664 9256038 12341384 13463328 18512076 24682768 37024152 49365536 74048304 148096608