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5377844250 = 232538812713
BaseRepresentation
bin1010000001000101…
…10110010000011010
3111212210100210102200
411000202312100122
542003212004000
62245345511030
7250160631132
oct50042662032
914783323380
105377844250
11230a71aa89
121061042476
1367921377c
14390339ac2
152171e0500
hex1408b641a

5377844250 has 96 divisors (see below), whose sum is σ = 14563562832. Its totient is φ = 1431936000.

The previous prime is 5377844239. The next prime is 5377844261. The reversal of 5377844250 is 524487735.

5377844250 is a `hidden beast` number, since 537 + 78 + 4 + 42 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5377844239) and next prime (5377844261).

It can be written as a sum of positive squares in 8 ways, for example, as 592386921 + 4785457329 = 24339^2 + 69177^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5377844196 and 5377844205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1980894 + ... + 1983606.

Almost surely, 25377844250 is an apocalyptic number.

5377844250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5377844250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7281781416).

5377844250 is an abundant number, since it is smaller than the sum of its proper divisors (9185718582).

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

5377844250 is a wasteful number, since it uses less digits than its factorization.

5377844250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 5377844250 is about 73333.7865516298. The cubic root of 5377844250 is about 1752.0079536919.

The spelling of 5377844250 in words is "five billion, three hundred seventy-seven million, eight hundred forty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 881 1125 1762 2250 2643 2713 4405 5286 5426 7929 8139 8810 13215 13565 15858 16278 22025 24417 26430 27130 39645 40695 44050 48834 66075 67825 79290 81390 110125 122085 132150 135650 198225 203475 220250 244170 330375 339125 396450 406950 610425 660750 678250 991125 1017375 1220850 1982250 2034750 2390153 3052125 4780306 6104250 7170459 11950765 14340918 21511377 23901530 35852295 43022754 59753825 71704590 107556885 119507650 179261475 215113770 298769125 358522950 537784425 597538250 896307375 1075568850 1792614750 2688922125 5377844250