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5350400 = 210521119
BaseRepresentation
bin10100011010010000000000
3101001211100222
4110122100000
52332203100
6310402212
763322556
oct24322000
911054328
105350400
113024920
121960368
131154423
149d3bd6
1570a485
hex51a400

5350400 has 132 divisors (see below), whose sum is σ = 15229680. Its totient is φ = 1843200.

The previous prime is 5350399. The next prime is 5350417. The reversal of 5350400 is 40535.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281591 + ... + 281609.

Almost surely, 25350400 is an apocalyptic number.

5350400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614840).

5350400 is an abundant number, since it is smaller than the sum of its proper divisors (9879280).

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

5350400 is a wasteful number, since it uses less digits than its factorization.

5350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 5350400 is about 2313.0931671682. The cubic root of 5350400 is about 174.9022583443.

Adding to 5350400 its reverse (40535), we get a palindrome (5390935).

The spelling of 5350400 in words is "five million, three hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 64 76 80 88 95 100 110 128 152 160 176 190 200 209 220 256 275 304 320 352 380 400 418 440 475 512 550 608 640 704 760 800 836 880 950 1024 1045 1100 1216 1280 1408 1520 1600 1672 1760 1900 2090 2200 2432 2560 2816 3040 3200 3344 3520 3800 4180 4400 4864 5120 5225 5632 6080 6400 6688 7040 7600 8360 8800 9728 10450 11264 12160 12800 13376 14080 15200 16720 17600 19456 20900 24320 25600 26752 28160 30400 33440 35200 41800 48640 53504 56320 60800 66880 70400 83600 97280 107008 121600 133760 140800 167200 214016 243200 267520 281600 334400 486400 535040 668800 1070080 1337600 2675200 5350400