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30547152 = 2433312281
BaseRepresentation
bin111010010000…
…1110011010000
32010110221211000
41310201303100
530310002102
63010422000
7520434516
oct164416320
963427730
1030547152
1116274589
12a291900
13643704c
1440b24b6
152a3601c
hex1d21cd0

30547152 has 80 divisors (see below), whose sum is σ = 90549760. Its totient is φ = 9849600.

The previous prime is 30547093. The next prime is 30547159. The reversal of 30547152 is 25174503.

It is a happy number.

It is a super-2 number, since 2×305471522 = 1866256990622208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30547159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12252 + ... + 14532.

It is an arithmetic number, because the mean of its divisors is an integer number (1131872).

Almost surely, 230547152 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 30547152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45274880).

30547152 is an abundant number, since it is smaller than the sum of its proper divisors (60002608).

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

30547152 is a wasteful number, since it uses less digits than its factorization.

30547152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 30547152 is about 5526.9478014543. The cubic root of 30547152 is about 312.6009129029.

The spelling of 30547152 in words is "thirty million, five hundred forty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 2281 3348 4464 4562 6696 6843 9124 13392 13686 18248 20529 27372 36496 41058 54744 61587 70711 82116 109488 123174 141422 164232 212133 246348 282844 328464 424266 492696 565688 636399 848532 985392 1131376 1272798 1697064 1909197 2545596 3394128 3818394 5091192 7636788 10182384 15273576 30547152