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30295392 = 2534143179
BaseRepresentation
bin111001110010…
…0010101100000
32010000011110120
41303210111200
530223423032
63001200240
7515335521
oct163442540
963004416
1030295392
1116112416
12a190080
13637958a
144048848
1529d662c
hex1ce4560

30295392 has 96 divisors (see below), whose sum is σ = 83825280. Its totient is φ = 9569280.

The previous prime is 30295381. The next prime is 30295399. The reversal of 30295392 is 29359203.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30295399) 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, 169159 + ... + 169337.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 230295392 is an apocalyptic number.

30295392 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 30295392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41912640).

30295392 is an abundant number, since it is smaller than the sum of its proper divisors (53529888).

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

30295392 is a wasteful number, since it uses less digits than its factorization.

30295392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 30295392 is about 5504.1249985806. The cubic root of 30295392 is about 311.7397566895.

The spelling of 30295392 in words is "thirty million, two hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 43 48 82 86 96 123 129 164 172 179 246 258 328 344 358 492 516 537 656 688 716 984 1032 1074 1312 1376 1432 1763 1968 2064 2148 2864 3526 3936 4128 4296 5289 5728 7052 7339 7697 8592 10578 14104 14678 15394 17184 21156 22017 23091 28208 29356 30788 42312 44034 46182 56416 58712 61576 84624 88068 92364 117424 123152 169248 176136 184728 234848 246304 315577 352272 369456 631154 704544 738912 946731 1262308 1893462 2524616 3786924 5049232 7573848 10098464 15147696 30295392