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97965048 = 23337110321
BaseRepresentation
bin1011101011011…
…01001111111000
320211100010210010
411311231033320
5200034340143
613415421520
72266455246
oct565551770
9224303703
1097965048
1150331655
12289848a0
13173b04ac
14d021796
158901a33
hex5d6d3f8

97965048 has 32 divisors (see below), whose sum is σ = 251534160. Its totient is φ = 31772160.

The previous prime is 97965029. The next prime is 97965071. The reversal of 97965048 is 84056979.

It is a junction number, because it is equal to n+sod(n) for n = 97964988 and 97965006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54273 + ... + 56048.

Almost surely, 297965048 is an apocalyptic number.

It is an amenable number.

97965048 is an abundant number, since it is smaller than the sum of its proper divisors (153569112).

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

97965048 is a wasteful number, since it uses less digits than its factorization.

97965048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110367 (or 110363 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 97965048 is about 9897.7294365930. The cubic root of 97965048 is about 460.9888118145.

The spelling of 97965048 in words is "ninety-seven million, nine hundred sixty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 110321 220642 330963 441284 661926 882568 1323852 2647704 4081877 8163754 12245631 16327508 24491262 32655016 48982524 97965048