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148231072 = 25114110271
BaseRepresentation
bin10001101010111…
…01001110100000
3101022220220210201
420311131032200
5300421343242
622413034544
73446641363
oct1065351640
9338826721
10148231072
1176744220
1241785a54
132492c9c2
14159880da
15d0304b7
hex8d5d3a0

148231072 has 48 divisors (see below), whose sum is σ = 326156544. Its totient is φ = 65728000.

The previous prime is 148231063. The next prime is 148231081. The reversal of 148231072 is 270132841.

It is an interprime number because it is at equal distance from previous prime (148231063) and next prime (148231081).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 148231072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9297 + ... + 19567.

It is an arithmetic number, because the mean of its divisors is an integer number (6794928).

Almost surely, 2148231072 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 148231072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163078272).

148231072 is an abundant number, since it is smaller than the sum of its proper divisors (177925472).

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

148231072 is a wasteful number, since it uses less digits than its factorization.

148231072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10333 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 148231072 is about 12175.0183572757. The cubic root of 148231072 is about 529.2323906324.

The spelling of 148231072 in words is "one hundred forty-eight million, two hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 7216 10271 14432 20542 41084 82168 112981 164336 225962 328672 421111 451924 842222 903848 1684444 1807696 3368888 3615392 4632221 6737776 9264442 13475552 18528884 37057768 74115536 148231072