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30797052 = 2231113131137
BaseRepresentation
bin111010101111…
…0110011111100
32010221122121120
41311132303330
530341001202
63020030540
7522525216
oct165366374
963848546
1030797052
1116425310
12a392450
1364c3a10
1441395b6
152a850bc
hex1d5ecfc

30797052 has 96 divisors (see below), whose sum is σ = 85688064. Its totient is φ = 8486400.

The previous prime is 30797051. The next prime is 30797059. The reversal of 30797052 is 25079703.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30797051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224728 + ... + 224864.

It is an arithmetic number, because the mean of its divisors is an integer number (892584).

Almost surely, 230797052 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 30797052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42844032).

30797052 is an abundant number, since it is smaller than the sum of its proper divisors (54891012).

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

30797052 is a wasteful number, since it uses less digits than its factorization.

30797052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 30797052 is about 5549.5091674850. The cubic root of 30797052 is about 313.4510402291.

The spelling of 30797052 in words is "thirty million, seven hundred ninety-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 131 132 137 143 156 262 274 286 393 411 429 524 548 572 786 822 858 1441 1507 1572 1644 1703 1716 1781 2882 3014 3406 3562 4323 4521 5109 5343 5764 6028 6812 7124 8646 9042 10218 10686 17292 17947 18084 18733 19591 20436 21372 35894 37466 39182 53841 56199 58773 71788 74932 78364 107682 112398 117546 197417 215364 224796 233311 235092 394834 466622 592251 699933 789668 933244 1184502 1399866 2369004 2566421 2799732 5132842 7699263 10265684 15398526 30797052