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97406550 = 235528017
BaseRepresentation
bin1011100111001…
…00111001010110
320210021202200000
411303210321112
5144414002200
613355432130
72261641053
oct563447126
9223252600
1097406550
114aa8aa8a
1228755646
1317246217
14cd1802a
158841300
hex5ce4e56

97406550 has 72 divisors (see below), whose sum is σ = 271425336. Its totient is φ = 25971840.

The previous prime is 97406531. The next prime is 97406599. The reversal of 97406550 is 5560479.

97406550 = T2779 + T2780 + ... + T2803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8142 + ... + 16158.

Almost surely, 297406550 is an apocalyptic number.

97406550 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97406550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135712668).

97406550 is an abundant number, since it is smaller than the sum of its proper divisors (174018786).

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

97406550 is a wasteful number, since it uses less digits than its factorization.

97406550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 97406550 is about 9869.4756699634. The cubic root of 97406550 is about 460.1111105258. Note that the first 5 decimals are identical.

It can be divided in two parts, 9740 and 6550, that added together give a triangular number (16290 = T180).

The spelling of 97406550 in words is "ninety-seven million, four hundred six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 2025 2430 4050 6075 8017 12150 16034 24051 40085 48102 72153 80170 120255 144306 200425 216459 240510 360765 400850 432918 601275 649377 721530 1082295 1202550 1298754 1803825 1948131 2164590 3246885 3607650 3896262 5411475 6493770 9740655 10822950 16234425 19481310 32468850 48703275 97406550