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5402025200 = 2452111394441
BaseRepresentation
bin1010000011111110…
…00101110011110000
3111221110212022110102
411001333011303300
542030404301300
62252012051532
7250603312415
oct50177056360
914843768412
105402025200
112322336540
121069163ba8
1368122bc20
1439363210c
152193ba0d5
hex141fc5cf0

5402025200 has 120 divisors (see below), whose sum is σ = 15247472016. Its totient is φ = 1813248000.

The previous prime is 5402025173. The next prime is 5402025227. The reversal of 5402025200 is 25202045.

It is an interprime number because it is at equal distance from previous prime (5402025173) and next prime (5402025227).

It is a super-2 number, since 2×54020252002 = 58363752522870080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9980 + ... + 104420.

Almost surely, 25402025200 is an apocalyptic number.

5402025200 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 5402025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623736008).

5402025200 is an abundant number, since it is smaller than the sum of its proper divisors (9845446816).

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

5402025200 is a wasteful number, since it uses less digits than its factorization.

5402025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94483 (or 94472 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 5402025200 is about 73498.4707323901. The cubic root of 5402025200 is about 1754.6299385051.

Adding to 5402025200 its reverse (25202045), we get a palindrome (5427227245).

The spelling of 5402025200 in words is "five billion, four hundred two million, twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 130 143 176 200 208 220 260 275 286 325 400 440 520 550 572 650 715 880 1040 1100 1144 1300 1430 2200 2288 2600 2860 3575 4400 5200 5720 7150 11440 14300 28600 57200 94441 188882 377764 472205 755528 944410 1038851 1227733 1511056 1888820 2077702 2361025 2455466 3777640 4155404 4722050 4910932 5194255 6138665 7555280 8310808 9444100 9821864 10388510 12277330 13505063 16621616 18888200 19643728 20777020 24554660 25971275 27010126 30693325 37776400 41554040 49109320 51942550 54020252 61386650 67525315 83108080 98218640 103885100 108040504 122773300 135050630 207770200 216081008 245546600 270101260 337626575 415540400 491093200 540202520 675253150 1080405040 1350506300 2701012600 5402025200