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82923102 = 2342931747
BaseRepresentation
bin1001111000101…
…00111001011110
312210000221010000
410330110321132
5132212014402
612121155130
72024556213
oct474247136
9183027100
1082923102
1142898399
122392baa6
1314244a32
14b027b0a
15742ec1c
hex4f14e5e

82923102 has 40 divisors (see below), whose sum is σ = 186550056. Its totient is φ = 27530928.

The previous prime is 82923089. The next prime is 82923103. The reversal of 82923102 is 20132928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82923103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46593 + ... + 48339.

Almost surely, 282923102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82923102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93275028).

82923102 is an abundant number, since it is smaller than the sum of its proper divisors (103626954).

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

82923102 is a wasteful number, since it uses less digits than its factorization.

82923102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82923102 is about 9106.2122751449. The cubic root of 82923102 is about 436.0723128663.

The spelling of 82923102 in words is "eighty-two million, nine hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 293 586 879 1747 1758 2637 3494 5241 5274 7911 10482 15723 15822 23733 31446 47169 47466 94338 141507 283014 511871 1023742 1535613 3071226 4606839 9213678 13820517 27641034 41461551 82923102