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30795552 = 25341092
BaseRepresentation
bin111010101111…
…0011100100000
32010221120120000
41311132130200
530340424202
63020020000
7522520644
oct165363440
963846500
1030795552
1116424177
12a391600
1364c3128
144138c24
152a8491c
hex1d5e720

30795552 has 90 divisors (see below), whose sum is σ = 91407393. Its totient is φ = 10171008.

The previous prime is 30795533. The next prime is 30795559. The reversal of 30795552 is 25559703.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

30795552 is a `hidden beast` number, since 30 + 79 + 5 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29550096 + 1245456 = 5436^2 + 1116^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3924.

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 (30795559) 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 14 ways as a sum of consecutive naturals, for example, 282474 + ... + 282582.

Almost surely, 230795552 is an apocalyptic number.

30795552 is a gapful number since it is divisible by the number (32) 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 30795552

30795552 is an abundant number, since it is smaller than the sum of its proper divisors (60611841).

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

30795552 is an equidigital number, since it uses as much as digits as its factorization.

30795552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 30795552 is about 5549.3740187520. The cubic root of 30795552 is about 313.4459511685.

It can be divided in two parts, 307 and 95552, that added together give a palindrome (95859).

The spelling of 30795552 in words is "thirty million, seven hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 109 144 162 216 218 288 324 327 432 436 648 654 864 872 981 1296 1308 1744 1962 2592 2616 2943 3488 3924 5232 5886 7848 8829 10464 11772 11881 15696 17658 23544 23762 31392 35316 35643 47088 47524 70632 71286 94176 95048 106929 141264 142572 190096 213858 282528 285144 320787 380192 427716 570288 641574 855432 962361 1140576 1283148 1710864 1924722 2566296 3421728 3849444 5132592 7698888 10265184 15397776 30795552