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97440192 = 26331731107
BaseRepresentation
bin1011100111011…
…01000111000000
320210100110211000
411303231013000
5144421041232
613400252000
72262141123
oct563550700
9223313730
1097440192
1150003293
1228771000
1317258625
14cd263ba
15884b27c
hex5ced1c0

97440192 has 224 divisors, whose sum is σ = 316016640. Its totient is φ = 29306880.

The previous prime is 97440173. The next prime is 97440197. The reversal of 97440192 is 29104479.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97440197) 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 31 ways as a sum of consecutive naturals, for example, 910603 + ... + 910709.

Almost surely, 297440192 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 97440192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

97440192 is an abundant number, since it is smaller than the sum of its proper divisors (218576448).

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

97440192 is a wasteful number, since it uses less digits than its factorization.

97440192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 97440192 is about 9871.1798686884. The cubic root of 97440192 is about 460.1640750553.

The spelling of 97440192 in words is "ninety-seven million, four hundred forty thousand, one hundred ninety-two".