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30796848 = 2435892
BaseRepresentation
bin111010101111…
…0110000110000
32010221122100000
41311132300300
530340444343
63020030000
7522524505
oct165366060
963848300
1030796848
1116425145
12a392300
1364c38b4
1441394ac
152a84ed3
hex1d5ec30

30796848 has 90 divisors (see below), whose sum is σ = 90396124. Its totient is φ = 10150272.

The previous prime is 30796789. The next prime is 30796849. The reversal of 30796848 is 84869703.

It is a happy number.

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.

It is not an unprimeable number, because it can be changed into a prime (30796849) 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, 345988 + ... + 346076.

Almost surely, 230796848 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 30796848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45198062).

30796848 is an abundant number, since it is smaller than the sum of its proper divisors (59599276).

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

30796848 is an frugal number, since it uses more digits than its factorization.

30796848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 30796848 is about 5549.4907874507. The cubic root of 30796848 is about 313.4503481266.

The spelling of 30796848 in words is "thirty million, seven hundred ninety-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 243 267 324 356 432 486 534 648 712 801 972 1068 1296 1424 1602 1944 2136 2403 3204 3888 4272 4806 6408 7209 7921 9612 12816 14418 15842 19224 21627 23763 28836 31684 38448 43254 47526 57672 63368 71289 86508 95052 115344 126736 142578 173016 190104 213867 285156 346032 380208 427734 570312 641601 855468 1140624 1283202 1710936 1924803 2566404 3421872 3849606 5132808 7699212 10265616 15398424 30796848