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148347072 = 26332932
BaseRepresentation
bin10001101011110…
…01100011000000
3101100010210221000
420311321203000
5300434101242
622415332000
73450633516
oct1065714300
9340123830
10148347072
1176813395
1241821000
1324970743
14159b84b6
15d054a4c
hex8d798c0

148347072 has 84 divisors (see below), whose sum is σ = 437606440. Its totient is φ = 49280256.

The previous prime is 148347037. The next prime is 148347077. The reversal of 148347072 is 270743841.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (148347077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506158 + ... + 506450.

Almost surely, 2148347072 is an apocalyptic number.

148347072 is a gapful number since it is divisible by the number (12) 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 148347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218803220).

148347072 is an abundant number, since it is smaller than the sum of its proper divisors (289259368).

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

148347072 is an frugal number, since it uses more digits than its factorization.

148347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 148347072 is about 12179.7812788243. The cubic root of 148347072 is about 529.3704070176.

Multiplying 148347072 by its product of nonzero digits (37632), we get a square (5582597013504 = 23627522).

The spelling of 148347072 in words is "one hundred forty-eight million, three hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 293 432 576 586 864 879 1172 1728 1758 2344 2637 3516 4688 5274 7032 7911 9376 10548 14064 15822 18752 21096 28128 31644 42192 56256 63288 84384 85849 126576 168768 171698 253152 257547 343396 506304 515094 686792 772641 1030188 1373584 1545282 2060376 2317923 2747168 3090564 4120752 4635846 5494336 6181128 8241504 9271692 12362256 16483008 18543384 24724512 37086768 49449024 74173536 148347072