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148901816 = 23723193599
BaseRepresentation
bin10001110000000…
…00111110111000
3101101011222220002
420320000332320
5301104324231
622435252132
73455434040
oct1070007670
9341158802
10148901816
1177062158
1241a4a048
1324b060ab
1415ac0720
15d1140cb
hex8e00fb8

148901816 has 64 divisors (see below), whose sum is σ = 335232000. Its totient is φ = 60622848.

The previous prime is 148901813. The next prime is 148901821. The reversal of 148901816 is 618109841.

148901816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 148901816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148901813) 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, 248285 + ... + 248883.

It is an arithmetic number, because the mean of its divisors is an integer number (5238000).

Almost surely, 2148901816 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 148901816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167616000).

148901816 is an abundant number, since it is smaller than the sum of its proper divisors (186330184).

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

148901816 is a wasteful number, since it uses less digits than its factorization.

148901816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 38.

The square root of 148901816 is about 12202.5331796312. The cubic root of 148901816 is about 530.0294465661.

The spelling of 148901816 in words is "one hundred forty-eight million, nine hundred one thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 193 322 386 599 644 772 1198 1288 1351 1544 2396 2702 4193 4439 4792 5404 8386 8878 10808 13777 16772 17756 27554 31073 33544 35512 55108 62146 96439 110216 115607 124292 192878 231214 248584 385756 462428 771512 809249 924856 1618498 2658961 3236996 5317922 6473992 10635844 18612727 21271688 37225454 74450908 148901816