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4100992 = 27723199
BaseRepresentation
bin1111101001001110000000
321201100111121
433221032000
52022212432
6223522024
746600150
oct17511600
97640447
104100992
112351155
121459314
13b0782c
1478a760
15560197
hex3e9380

4100992 has 64 divisors (see below), whose sum is σ = 9792000. Its totient is φ = 1672704.

The previous prime is 4100983. The next prime is 4101011. The reversal of 4100992 is 2990014.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20509 + ... + 20707.

It is an arithmetic number, because the mean of its divisors is an integer number (153000).

Almost surely, 24100992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896000).

4100992 is an abundant number, since it is smaller than the sum of its proper divisors (5691008).

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

4100992 is a wasteful number, since it uses less digits than its factorization.

4100992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 4100992 is about 2025.0906152565. The cubic root of 4100992 is about 160.0649736116.

The spelling of 4100992 in words is "four million, one hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 199 224 322 368 398 448 644 736 796 896 1288 1393 1472 1592 2576 2786 2944 3184 4577 5152 5572 6368 9154 10304 11144 12736 18308 20608 22288 25472 32039 36616 44576 64078 73232 89152 128156 146464 178304 256312 292928 512624 585856 1025248 2050496 4100992