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148738000 = 2453312399
BaseRepresentation
bin10001101110110…
…00111111010000
3101100212200011211
420313120333100
5301034104000
622431545504
73454152325
oct1067307720
9340780154
10148738000
1176a60074
124198b294
1324a79668
1415a7ab4c
15d0d07ba
hex8dd8fd0

148738000 has 80 divisors (see below), whose sum is σ = 371404800. Its totient is φ = 57552000.

The previous prime is 148737991. The next prime is 148738001. The reversal of 148738000 is 837841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148738001) 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, 60801 + ... + 63199.

It is an arithmetic number, because the mean of its divisors is an integer number (4642560).

Almost surely, 2148738000 is an apocalyptic number.

148738000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400).

148738000 is an abundant number, since it is smaller than the sum of its proper divisors (222666800).

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

148738000 is a wasteful number, since it uses less digits than its factorization.

148738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 148738000 is about 12195.8189556913. The cubic root of 148738000 is about 529.8350026322.

The spelling of 148738000 in words is "one hundred forty-eight million, seven hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2399 2480 3100 3875 4798 6200 7750 9596 11995 12400 15500 19192 23990 31000 38384 47980 59975 62000 74369 95960 119950 148738 191920 239900 297476 299875 371845 479800 594952 599750 743690 959600 1189904 1199500 1487380 1859225 2399000 2974760 3718450 4798000 5949520 7436900 9296125 14873800 18592250 29747600 37184500 74369000 148738000