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148007412 = 223772417
BaseRepresentation
bin10001101001001…
…10100111110100
3101022111120000000
420310212213310
5300342214122
622404151300
73445020330
oct1064464764
9338446000
10148007412
1176601183
1241698530
1324881c67
141592a7c0
15ced90ac
hex8d269f4

148007412 has 96 divisors (see below), whose sum is σ = 444138240. Its totient is φ = 42270336.

The previous prime is 148007407. The next prime is 148007449. The reversal of 148007412 is 214700841.

148007412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60028 + ... + 62444.

It is an arithmetic number, because the mean of its divisors is an integer number (4626440).

Almost surely, 2148007412 is an apocalyptic number.

148007412 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 148007412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222069120).

148007412 is an abundant number, since it is smaller than the sum of its proper divisors (296130828).

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

148007412 is an equidigital number, since it uses as much as digits as its factorization.

148007412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 148007412 is about 12165.8296881059. The cubic root of 148007412 is about 528.9660773723.

The spelling of 148007412 in words is "one hundred forty-eight million, seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2187 2268 2417 2916 3402 4374 4834 5103 6804 7251 8748 9668 10206 14502 15309 16919 20412 21753 29004 30618 33838 43506 50757 61236 65259 67676 87012 101514 130518 152271 195777 203028 261036 304542 391554 456813 587331 609084 783108 913626 1174662 1370439 1761993 1827252 2349324 2740878 3523986 4111317 5285979 5481756 7047972 8222634 10571958 12333951 16445268 21143916 24667902 37001853 49335804 74003706 148007412