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97351488 = 26321313001
BaseRepresentation
bin1011100110101…
…11011101000000
320210011222010200
411303113131000
5144410221423
613354325200
72261321403
oct563273500
9223158120
1097351488
114aa52683
1228729800
1317227140
14cd01d3a
15882ed43
hex5cd7740

97351488 has 84 divisors (see below), whose sum is σ = 300528228. Its totient is φ = 29952000.

The previous prime is 97351483. The next prime is 97351517. The reversal of 97351488 is 88415379.

It can be written as a sum of positive squares in 2 ways, for example, as 6110784 + 91240704 = 2472^2 + 9552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97351483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 988 + ... + 13988.

It is an arithmetic number, because the mean of its divisors is an integer number (3577717).

Almost surely, 297351488 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 97351488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150264114).

97351488 is an abundant number, since it is smaller than the sum of its proper divisors (203176740).

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

97351488 is a wasteful number, since it uses less digits than its factorization.

97351488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13032 (or 13019 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 97351488 is about 9866.6857657473. The cubic root of 97351488 is about 460.0243969417.

The spelling of 97351488 in words is "ninety-seven million, three hundred fifty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 13001 26002 39003 52004 78006 104008 117009 156012 169013 208016 234018 312024 338026 416032 468036 507039 624048 676052 832064 936072 1014078 1248096 1352104 1521117 1872144 2028156 2496192 2704208 3042234 3744288 4056312 5408416 6084468 7488576 8112624 10816832 12168936 16225248 24337872 32450496 48675744 97351488