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30849192 = 23321123541
BaseRepresentation
bin111010110101…
…1100010101000
32011001022010200
41311223202220
530344133232
63021112200
7523133223
oct165534250
964038120
1030849192
1116460500
12a3b8660
13651167a
1441505ba
152a9577c
hex1d6b8a8

30849192 has 72 divisors (see below), whose sum is σ = 91861770. Its totient is φ = 9345600.

The previous prime is 30849173. The next prime is 30849197. The reversal of 30849192 is 29194803.

It can be written as a sum of positive squares in only one way, i.e., 27185796 + 3663396 = 5214^2 + 1914^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30849197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6942 + ... + 10482.

Almost surely, 230849192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30849192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45930885).

30849192 is an abundant number, since it is smaller than the sum of its proper divisors (61012578).

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

30849192 is a wasteful number, since it uses less digits than its factorization.

30849192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 30849192 is about 5554.2048935919. The cubic root of 30849192 is about 313.6278333706.

The spelling of 30849192 in words is "thirty million, eight hundred forty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 3541 4356 7082 8712 10623 14164 21246 28328 31869 38951 42492 63738 77902 84984 116853 127476 155804 233706 254952 311608 350559 428461 467412 701118 856922 934824 1285383 1402236 1713844 2570766 2804472 3427688 3856149 5141532 7712298 10283064 15424596 30849192