Search a number
-
+
30049440 = 253562603
BaseRepresentation
bin111001010100…
…0010010100000
32002112200002020
41302220102200
530143040230
62552021440
7513262461
oct162502240
962480066
1030049440
1115a64653
12a091880
1362c1645
143dc2d68
152988810
hex1ca84a0

30049440 has 48 divisors (see below), whose sum is σ = 94657248. Its totient is φ = 8013056.

The previous prime is 30049429. The next prime is 30049441. The reversal of 30049440 is 4494003.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30049440.

It is not an unprimeable number, because it can be changed into a prime (30049441) 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, 30822 + ... + 31781.

It is an arithmetic number, because the mean of its divisors is an integer number (1972026).

Almost surely, 230049440 is an apocalyptic number.

30049440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30049440 is an abundant number, since it is smaller than the sum of its proper divisors (64607808).

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

30049440 is a wasteful number, since it uses less digits than its factorization.

30049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62621 (or 62613 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30049440 is about 5481.7369510038. The cubic root of 30049440 is about 310.8938475541.

The spelling of 30049440 in words is "thirty million, forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 62603 125206 187809 250412 313015 375618 500824 626030 751236 939045 1001648 1252060 1502472 1878090 2003296 2504120 3004944 3756180 5008240 6009888 7512360 10016480 15024720 30049440