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2023877440 = 26513486509
BaseRepresentation
bin111100010100001…
…1110101101000000
312020001021121220201
41320220132231000
513121103034230
6532454414544
7101103450214
oct17050365500
95201247821
102023877440
11949476092
12485961454
132633b7620
14152b12944
15bca2c5ca
hex78a1eb40

2023877440 has 56 divisors (see below), whose sum is σ = 5190088680. Its totient is φ = 747276288.

The previous prime is 2023877419. The next prime is 2023877441. The reversal of 2023877440 is 447783202.

It can be written as a sum of positive squares in 4 ways, for example, as 43983424 + 1979894016 = 6632^2 + 44496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2023877440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023877441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239095 + ... + 247414.

It is an arithmetic number, because the mean of its divisors is an integer number (92680155).

Almost surely, 22023877440 is an apocalyptic number.

2023877440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023877440 is an abundant number, since it is smaller than the sum of its proper divisors (3166211240).

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

2023877440 is a wasteful number, since it uses less digits than its factorization.

2023877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486539 (or 486529 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 2023877440 is about 44987.5253820434. The cubic root of 2023877440 is about 1264.9151760315.

The spelling of 2023877440 in words is "two billion, twenty-three million, eight hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 486509 973018 1946036 2432545 3892072 4865090 6324617 7784144 9730180 12649234 15568288 19460360 25298468 31136576 31623085 38920720 50596936 63246170 77841440 101193872 126492340 155682880 202387744 252984680 404775488 505969360 1011938720 2023877440