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97097728 = 211713521
BaseRepresentation
bin1011100100110…
…01100000000000
320202201002001011
411302121200000
5144324111403
613345050304
72256213520
oct562314000
9222632034
1097097728
114a899a62
1228626994
13171687a0
14cc77680
1587cea6d
hex5c99800

97097728 has 96 divisors (see below), whose sum is σ = 239410080. Its totient is φ = 38338560.

The previous prime is 97097711. The next prime is 97097729. The reversal of 97097728 is 82779079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97097729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186108 + ... + 186628.

It is an arithmetic number, because the mean of its divisors is an integer number (2493855).

Almost surely, 297097728 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 97097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119705040).

97097728 is an abundant number, since it is smaller than the sum of its proper divisors (142312352).

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

97097728 is a wasteful number, since it uses less digits than its factorization.

97097728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 49.

The square root of 97097728 is about 9853.8179402707. The cubic root of 97097728 is about 459.6243435894.

The spelling of 97097728 in words is "ninety-seven million, ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 521 728 832 896 1024 1042 1456 1664 1792 2048 2084 2912 3328 3584 3647 4168 5824 6656 6773 7168 7294 8336 11648 13312 13546 14336 14588 16672 23296 26624 27092 29176 33344 46592 47411 54184 58352 66688 93184 94822 108368 116704 133376 186368 189644 216736 233408 266752 379288 433472 466816 533504 758576 866944 933632 1067008 1517152 1733888 1867264 3034304 3467776 3734528 6068608 6935552 7469056 12137216 13871104 24274432 48548864 97097728