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5101776 = 243271499
BaseRepresentation
bin10011011101100011010000
3100121012022200
4103131203100
52301224101
6301203200
761235661
oct23354320
910535280
105101776
112975049
121860500
131098204
1496b368
156ab986
hex4dd8d0

5101776 has 60 divisors (see below), whose sum is σ = 14508000. Its totient is φ = 1673280.

The previous prime is 5101771. The next prime is 5101781. The reversal of 5101776 is 6771015.

It is an interprime number because it is at equal distance from previous prime (5101771) and next prime (5101781).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9975 + ... + 10473.

It is an arithmetic number, because the mean of its divisors is an integer number (241800).

Almost surely, 25101776 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 5101776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254000).

5101776 is an abundant number, since it is smaller than the sum of its proper divisors (9406224).

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

5101776 is a wasteful number, since it uses less digits than its factorization.

5101776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 5101776 is about 2258.7111369097. The cubic root of 5101776 is about 172.1500403414.

The spelling of 5101776 in words is "five million, one hundred one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 499 568 639 852 998 1136 1278 1497 1704 1996 2556 2994 3408 3992 4491 5112 5988 7984 8982 10224 11976 17964 23952 35429 35928 70858 71856 106287 141716 212574 283432 318861 425148 566864 637722 850296 1275444 1700592 2550888 5101776