[go: up one dir, main page]

Search a number
-
+
14942496 = 253315021
BaseRepresentation
bin111001000000…
…000100100000
31001010011020210
4321000010200
512311124441
61252134120
7241003062
oct71000440
931104223
1014942496
118486578
125007340
13313241a
141dad732
1514a2616
hexe40120

14942496 has 48 divisors (see below), whose sum is σ = 40497408. Its totient is φ = 4819200.

The previous prime is 14942489. The next prime is 14942497. The reversal of 14942496 is 69424941.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (14942497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466 + ... + 5486.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 214942496 is an apocalyptic number.

14942496 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 14942496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704).

14942496 is an abundant number, since it is smaller than the sum of its proper divisors (25554912).

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

14942496 is a wasteful number, since it uses less digits than its factorization.

14942496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065 (or 5057 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 14942496 is about 3865.5524831517. The cubic root of 14942496 is about 246.3056548344.

The spelling of 14942496 in words is "fourteen million, nine hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 5021 10042 15063 20084 30126 40168 60252 80336 120504 155651 160672 241008 311302 466953 482016 622604 933906 1245208 1867812 2490416 3735624 4980832 7471248 14942496