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97253376 = 2113111439
BaseRepresentation
bin1011100101111…
…11100000000000
320202222222112220
411302333200000
5144344102001
613352251040
72260432353
oct562774000
9222888486
1097253376
114a9959a0
12286a0a80
13171c159c
14ccb829a
158810c36
hex5cbf800

97253376 has 96 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 29450240.

The previous prime is 97253371. The next prime is 97253389. The reversal of 97253376 is 67335279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97253371) 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, 66865 + ... + 68303.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 297253376 is an apocalyptic number.

97253376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97253376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

97253376 is an abundant number, since it is smaller than the sum of its proper divisors (185793024).

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

97253376 is a wasteful number, since it uses less digits than its factorization.

97253376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1455 counting only the distinct ones).

The product of its digits is 238140, while the sum is 42.

The square root of 97253376 is about 9861.7126301672. The cubic root of 97253376 is about 459.8698056245.

The spelling of 97253376 in words is "ninety-seven million, two hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1439 1536 2048 2112 2816 2878 3072 4224 4317 5632 5756 6144 8448 8634 11264 11512 15829 16896 17268 22528 23024 31658 33792 34536 46048 47487 63316 67584 69072 92096 94974 126632 138144 184192 189948 253264 276288 368384 379896 506528 552576 736768 759792 1013056 1105152 1473536 1519584 2026112 2210304 2947072 3039168 4052224 4420608 6078336 8104448 8841216 12156672 16208896 24313344 32417792 48626688 97253376