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146646444 = 223713712743
BaseRepresentation
bin10001011110110…
…10010110101100
3101012221102002210
420233122112230
5300020141234
622315050420
73430321440
oct1057322654
9335842083
10146646444
117586170a
1241140a10
13244c6659
1415694820
15cd1abe9
hex8bda5ac

146646444 has 48 divisors (see below), whose sum is σ = 393942528. Its totient is φ = 41589888.

The previous prime is 146646431. The next prime is 146646449. The reversal of 146646444 is 444646641.

146646444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (146646449) 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, 5137 + ... + 17879.

It is an arithmetic number, because the mean of its divisors is an integer number (8207136).

Almost surely, 2146646444 is an apocalyptic number.

146646444 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 146646444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196971264).

146646444 is an abundant number, since it is smaller than the sum of its proper divisors (247296084).

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

146646444 is a wasteful number, since it uses less digits than its factorization.

146646444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12894 (or 12892 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 146646444 is about 12109.7664717368. The cubic root of 146646444 is about 527.3397538149.

The spelling of 146646444 in words is "one hundred forty-six million, six hundred forty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1918 2877 3836 5754 11508 12743 25486 38229 50972 76458 89201 152916 178402 267603 356804 535206 1070412 1745791 3491582 5237373 6983164 10474746 12220537 20949492 24441074 36661611 48882148 73323222 146646444