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146478444 = 223722310831
BaseRepresentation
bin10001011101100…
…01010101101100
3101012121212122120
420232301111230
5244444302234
622311312540
73426021600
oct1056612554
9335555576
10146478444
1175757472
124107b750
1324468048
141564d500
15ccd6049
hex8bb156c

146478444 has 72 divisors (see below), whose sum is σ = 414908928. Its totient is φ = 40027680.

The previous prime is 146478433. The next prime is 146478457. The reversal of 146478444 is 444874641.

It is a happy number.

146478444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1464784442 = 42911869113322272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 146478396 and 146478405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8109 + ... + 18939.

It is an arithmetic number, because the mean of its divisors is an integer number (5762624).

Almost surely, 2146478444 is an apocalyptic number.

146478444 is a gapful number since it is divisible by the number (14) 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 146478444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207454464).

146478444 is an abundant number, since it is smaller than the sum of its proper divisors (268430484).

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

146478444 is a wasteful number, since it uses less digits than its factorization.

146478444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10875 (or 10866 counting only the distinct ones).

The product of its digits is 344064, while the sum is 42.

The square root of 146478444 is about 12102.8279339996. The cubic root of 146478444 is about 527.1383011944.

The spelling of 146478444 in words is "one hundred forty-six million, four hundred seventy-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3381 4508 6762 10831 13524 21662 32493 43324 64986 75817 129972 151634 227451 249113 303268 454902 498226 530719 747339 909804 996452 1061438 1494678 1592157 1743791 2122876 2989356 3184314 3487582 5231373 6368628 6975164 10462746 12206537 20925492 24413074 36619611 48826148 73239222 146478444