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5383974400 = 2952760089
BaseRepresentation
bin1010000001110100…
…01110111000000000
3111220012220020102021
411000322032320000
542011244140100
62250125131224
7250264012240
oct50072167000
914805806367
105383974400
112313127722
1210630b9b14
1367a57ba8c
14391093b20
15217a01a1a
hex140e8ee00

5383974400 has 120 divisors (see below), whose sum is σ = 15245073360. Its totient is φ = 1845903360.

The previous prime is 5383974397. The next prime is 5383974457. The reversal of 5383974400 is 44793835.

It is a congruent number.

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, 59556 + ... + 119644.

It is an arithmetic number, because the mean of its divisors is an integer number (127042278).

Almost surely, 25383974400 is an apocalyptic number.

5383974400 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 5383974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622536680).

5383974400 is an abundant number, since it is smaller than the sum of its proper divisors (9861098960).

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

5383974400 is an equidigital number, since it uses as much as digits as its factorization.

5383974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60124 (or 60103 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The square root of 5383974400 is about 73375.5708666038. The cubic root of 5383974400 is about 1752.6733995972.

The spelling of 5383974400 in words is "five billion, three hundred eighty-three million, nine hundred seventy-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5600 6400 8960 11200 12800 17920 22400 44800 60089 89600 120178 240356 300445 420623 480712 600890 841246 961424 1201780 1502225 1682492 1922848 2103115 2403560 3004450 3364984 3845696 4206230 4807120 6008900 6729968 7691392 8412460 9614240 10515575 12017800 13459936 15382784 16824920 19228480 21031150 24035600 26919872 30765568 33649840 38456960 42062300 48071200 53839744 67299680 76913920 84124600 96142400 107679488 134599360 153827840 168249200 192284800 215358976 269198720 336498400 384569600 538397440 672996800 769139200 1076794880 1345993600 2691987200 5383974400