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146308848 = 2437716133
BaseRepresentation
bin10001011100001…
…11111011110000
3101012022021000020
420232013323300
5244423340343
622303523440
73424414260
oct1056077360
9335267006
10146308848
1175651004
1240bb9580
1324408aaa
14156077a0
15cca0b83
hex8b87ef0

146308848 has 80 divisors (see below), whose sum is σ = 438114816. Its totient is φ = 41207040.

The previous prime is 146308843. The next prime is 146308853. The reversal of 146308848 is 848803641.

It is an interprime number because it is at equal distance from previous prime (146308843) and next prime (146308853).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146308843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20790 + ... + 26922.

Almost surely, 2146308848 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 146308848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219057408).

146308848 is an abundant number, since it is smaller than the sum of its proper divisors (291805968).

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

146308848 is a wasteful number, since it uses less digits than its factorization.

146308848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 146308848 is about 12095.8194430969. The cubic root of 146308848 is about 526.9347784770.

The spelling of 146308848 in words is "one hundred forty-six million, three hundred eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3408 3976 5964 6133 7952 11928 12266 18399 23856 24532 36798 42931 49064 73596 85862 98128 128793 147192 171724 257586 294384 343448 435443 515172 686896 870886 1030344 1306329 1741772 2060688 2612658 3048101 3483544 5225316 6096202 6967088 9144303 10450632 12192404 18288606 20901264 24384808 36577212 48769616 73154424 146308848