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146370048 = 293118663
BaseRepresentation
bin10001011100101…
…10111000000000
3101012102100221220
420232112320000
5244432320143
622305115040
73425060556
oct1056267000
9335370856
10146370048
1175692a90
1241028a80
132442a8c6
1415621bd6
15ccb3d83
hex8b96e00

146370048 has 80 divisors (see below), whose sum is σ = 425437056. Its totient is φ = 44349440.

The previous prime is 146370043. The next prime is 146370061. The reversal of 146370048 is 840073641.

146370048 is digitally balanced in base 3, 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146370043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12565 + ... + 21227.

Almost surely, 2146370048 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 146370048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212718528).

146370048 is an abundant number, since it is smaller than the sum of its proper divisors (279067008).

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

146370048 is an equidigital number, since it uses as much as digits as its factorization.

146370048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8695 (or 8679 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 146370048 is about 12098.3489782697. The cubic root of 146370048 is about 527.0082393180.

The spelling of 146370048 in words is "one hundred forty-six million, three hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 8663 16896 17326 25989 34652 51978 69304 95293 103956 138608 190586 207912 277216 285879 381172 415824 554432 571758 762344 831648 1108864 1143516 1524688 1663296 2217728 2287032 3049376 3326592 4435456 4574064 6098752 6653184 9148128 12197504 13306368 18296256 24395008 36592512 48790016 73185024 146370048