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148076412 = 22311373127
BaseRepresentation
bin10001101001101…
…11011101111100
3101022122001122120
420310313131330
5300401421122
622405442540
73445425441
oct1064673574
9338561576
10148076412
1176649000
1241710450
13248a74a3
14159479c8
15ceee75c
hex8d3777c

148076412 has 96 divisors (see below), whose sum is σ = 388276224. Its totient is φ = 43908480.

The previous prime is 148076321. The next prime is 148076431. The reversal of 148076412 is 214670841.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1165893 + ... + 1166019.

It is an arithmetic number, because the mean of its divisors is an integer number (4044544).

Almost surely, 2148076412 is an apocalyptic number.

148076412 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 148076412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194138112).

148076412 is an abundant number, since it is smaller than the sum of its proper divisors (240199812).

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

148076412 is a wasteful number, since it uses less digits than its factorization.

148076412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 148076412 is about 12168.6651691958. The cubic root of 148076412 is about 529.0482646729.

The spelling of 148076412 in words is "one hundred forty-eight million, seventy-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 121 127 132 146 219 242 254 292 363 381 438 484 508 726 762 803 876 1331 1397 1452 1524 1606 2409 2662 2794 3212 3993 4191 4818 5324 5588 7986 8382 8833 9271 9636 15367 15972 16764 17666 18542 26499 27813 30734 35332 37084 46101 52998 55626 61468 92202 97163 101981 105996 111252 169037 184404 194326 203962 291489 305943 338074 388652 407924 507111 582978 611886 676148 1014222 1121791 1165956 1223772 2028444 2243582 3365373 4487164 6730746 12339701 13461492 24679402 37019103 49358804 74038206 148076412