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96955974 = 23319531783
BaseRepresentation
bin1011100011101…
…10111001000110
320202102212121000
411301312321012
5144310042344
613342034130
72255053323
oct561667106
9222385530
1096955974
114a802505
1228578946
13171190cb
14cc3bb4a
1587a2a69
hex5c76e46

96955974 has 64 divisors (see below), whose sum is σ = 231206400. Its totient is φ = 30023136.

The previous prime is 96955973. The next prime is 96955979. The reversal of 96955974 is 47955969.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 96955974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96955973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53487 + ... + 55269.

It is an arithmetic number, because the mean of its divisors is an integer number (3612600).

Almost surely, 296955974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96955974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115603200).

96955974 is an abundant number, since it is smaller than the sum of its proper divisors (134250426).

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

96955974 is a wasteful number, since it uses less digits than its factorization.

96955974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1860 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The square root of 96955974 is about 9846.6224666126. The cubic root of 96955974 is about 459.4005645082.

The spelling of 96955974 in words is "ninety-six million, nine hundred fifty-five thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 106 114 159 171 318 342 477 513 954 1007 1026 1431 1783 2014 2862 3021 3566 5349 6042 9063 10698 16047 18126 27189 32094 33877 48141 54378 67754 94499 96282 101631 188998 203262 283497 304893 566994 609786 850491 914679 1700982 1795481 1829358 2551473 3590962 5102946 5386443 10772886 16159329 32318658 48477987 96955974