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146049696 = 25331313003
BaseRepresentation
bin10001011010010…
…00101010100000
3101011211002112000
420231020222200
5244342042241
622254204000
73422254602
oct1055105240
9334732460
10146049696
1175494331
1240ab3600
1324347b50
141557b172
15cc4deb6
hex8b48aa0

146049696 has 96 divisors (see below), whose sum is σ = 458781120. Its totient is φ = 44934912.

The previous prime is 146049691. The next prime is 146049697. The reversal of 146049696 is 696940641.

146049696 is a `hidden beast` number, since 14 + 60 + 496 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (146049691) 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, 4731 + ... + 17733.

It is an arithmetic number, because the mean of its divisors is an integer number (4778970).

Almost surely, 2146049696 is an apocalyptic number.

146049696 is a gapful number since it is divisible by the number (16) 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 146049696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229390560).

146049696 is an abundant number, since it is smaller than the sum of its proper divisors (312731424).

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

146049696 is a wasteful number, since it uses less digits than its factorization.

146049696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13035 (or 13021 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 146049696 is about 12085.1022337422. The cubic root of 146049696 is about 526.6234805871.

The spelling of 146049696 in words is "one hundred forty-six million, forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 13003 26006 39009 52012 78018 104024 117027 156036 169039 208048 234054 312072 338078 351081 416096 468108 507117 624144 676156 702162 936216 1014234 1248288 1352312 1404324 1521351 1872432 2028468 2704624 2808648 3042702 3744864 4056936 4564053 5409248 5617296 6085404 8113872 9128106 11234592 12170808 16227744 18256212 24341616 36512424 48683232 73024848 146049696