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97127088 = 24319281379
BaseRepresentation
bin1011100101000…
…00101010110000
320202202120022120
411302200222300
5144331031323
613345434240
72256365232
oct562405260
9222676276
1097127088
114a90a023
122863b980
1317178c66
14cc84252
1587d85e3
hex5ca0ab0

97127088 has 80 divisors (see below), whose sum is σ = 265756800. Its totient is φ = 30481920.

The previous prime is 97127087. The next prime is 97127099. The reversal of 97127088 is 88072179.

It is not an unprimeable number, because it can be changed into a prime (97127081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256083 + ... + 256461.

It is an arithmetic number, because the mean of its divisors is an integer number (3321960).

Almost surely, 297127088 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 97127088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132878400).

97127088 is an abundant number, since it is smaller than the sum of its proper divisors (168629712).

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

97127088 is a wasteful number, since it uses less digits than its factorization.

97127088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 97127088 is about 9855.3076055494. The cubic root of 97127088 is about 459.6706653420.

The spelling of 97127088 in words is "ninety-seven million, one hundred twenty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 281 304 379 456 562 758 843 912 1124 1137 1516 1686 2248 2274 3032 3372 4496 4548 5339 6064 6744 7201 9096 10678 13488 14402 16017 18192 21356 21603 28804 32034 42712 43206 57608 64068 85424 86412 106499 115216 128136 172824 212998 256272 319497 345648 425996 638994 851992 1277988 1703984 2023481 2555976 4046962 5111952 6070443 8093924 12140886 16187848 24281772 32375696 48563544 97127088