[go: up one dir, main page]

Search a number
-
+
97466688 = 26321115383
BaseRepresentation
bin1011100111100…
…11100101000000
320210101211011100
411303303211000
5144422413223
613401014400
72262311304
oct563634500
9223354140
1097466688
1150021190
1228784400
13172676c7
14cd31d04
158854043
hex5cf3940

97466688 has 84 divisors (see below), whose sum is σ = 304787808. Its totient is φ = 29533440.

The previous prime is 97466687. The next prime is 97466693. The reversal of 97466688 is 88666479.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97466687) 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 11 ways as a sum of consecutive naturals, for example, 1356 + ... + 14027.

Almost surely, 297466688 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 97466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152393904).

97466688 is an abundant number, since it is smaller than the sum of its proper divisors (207321120).

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

97466688 is a wasteful number, since it uses less digits than its factorization.

97466688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15412 (or 15399 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 97466688 is about 9872.5218662710. The cubic root of 97466688 is about 460.2057806463.

The spelling of 97466688 in words is "ninety-seven million, four hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 15383 30766 46149 61532 92298 123064 138447 169213 184596 246128 276894 338426 369192 492256 507639 553788 676852 738384 984512 1015278 1107576 1353704 1476768 1522917 2030556 2215152 2707408 2953536 3045834 4061112 4430304 5414816 6091668 8122224 8860608 10829632 12183336 16244448 24366672 32488896 48733344 97466688