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97881126 = 23725772
BaseRepresentation
bin1011101010110…
…00110000100110
320211011212122220
411311120300212
5200024144001
613413533210
72265655500
oct565306046
9224155586
1097881126
11502845a2
1228944206
1317381235
14cddcd70
1588d6c36
hex5d58c26

97881126 has 36 divisors (see below), whose sum is σ = 228118788. Its totient is φ = 27917568.

The previous prime is 97881109. The next prime is 97881127. The reversal of 97881126 is 62118879.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97881127) 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 17 ways as a sum of consecutive naturals, for example, 169350 + ... + 169926.

It is an arithmetic number, because the mean of its divisors is an integer number (6336633).

Almost surely, 297881126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97881126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114059394).

97881126 is an abundant number, since it is smaller than the sum of its proper divisors (130237662).

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

97881126 is an equidigital number, since it uses as much as digits as its factorization.

97881126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 589 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 97881126 is about 9893.4890711013. The cubic root of 97881126 is about 460.8571384737.

The spelling of 97881126 in words is "ninety-seven million, eight hundred eighty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 577 1154 1731 3462 4039 8078 12117 24234 28273 56546 84819 169638 332929 665858 998787 1997574 2330503 4661006 6991509 13983018 16313521 32627042 48940563 97881126