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97819150 = 252111313681
BaseRepresentation
bin1011101010010…
…01101000001110
320211001201122111
411311021220032
5200020203100
613412334234
72265310012
oct565115016
9224051574
1097819150
1150241a80
122891437a
131735bc70
14cdc4542
1588c36ba
hex5d49a0e

97819150 has 48 divisors (see below), whose sum is σ = 213767568. Its totient is φ = 32832000.

The previous prime is 97819147. The next prime is 97819171. The reversal of 97819150 is 5191879.

It is a happy number.

It is a super-2 number, since 2×978191502 = 19137172213445000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 310 + ... + 13990.

It is an arithmetic number, because the mean of its divisors is an integer number (4453491).

Almost surely, 297819150 is an apocalyptic number.

97819150 is an abundant number, since it is smaller than the sum of its proper divisors (115948418).

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

97819150 is a wasteful number, since it uses less digits than its factorization.

97819150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13717 (or 13712 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 40.

The square root of 97819150 is about 9890.3564142047. The cubic root of 97819150 is about 460.7598500124.

It can be divided in two parts, 97819 and 150, that added together give a square (97969 = 3132).

The spelling of 97819150 in words is "ninety-seven million, eight hundred nineteen thousand, one hundred fifty".

Divisors: 1 2 5 10 11 13 22 25 26 50 55 65 110 130 143 275 286 325 550 650 715 1430 3575 7150 13681 27362 68405 136810 150491 177853 300982 342025 355706 684050 752455 889265 1504910 1778530 1956383 3762275 3912766 4446325 7524550 8892650 9781915 19563830 48909575 97819150