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97077232 = 2475192
BaseRepresentation
bin1011100100101…
…00011111110000
320202200000221001
411302110133300
5144322432412
613344411344
72256100000
oct562243760
9222600831
1097077232
114a88561a
1228616b54
131715c365
14cc70000
1587c8957
hex5c947f0

97077232 has 90 divisors (see below), whose sum is σ = 231590088. Its totient is φ = 39414816.

The previous prime is 97077221. The next prime is 97077247. The reversal of 97077232 is 23277079.

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 a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 97077191 and 97077200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5109319 + ... + 5109337.

Almost surely, 297077232 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 97077232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115795044).

97077232 is an abundant number, since it is smaller than the sum of its proper divisors (134512856).

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

97077232 is an frugal number, since it uses more digits than its factorization.

97077232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 37.

The square root of 97077232 is about 9852.7778824045. Note that the first 3 decimals coincide. The cubic root of 97077232 is about 459.5920011798.

The spelling of 97077232 in words is "ninety-seven million, seventy-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 343 361 392 532 686 722 784 931 1064 1372 1444 1862 2128 2401 2527 2744 2888 3724 4802 5054 5488 5776 6517 7448 9604 10108 13034 14896 16807 17689 19208 20216 26068 33614 35378 38416 40432 45619 52136 67228 70756 91238 104272 123823 134456 141512 182476 247646 268912 283024 319333 364952 495292 638666 729904 866761 990584 1277332 1733522 1981168 2554664 3467044 5109328 6067327 6934088 12134654 13868176 24269308 48538616 97077232