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55850400 = 2532527757
BaseRepresentation
bin1101010100001…
…1010110100000
310220002111100100
43111003112200
5103244203100
65313022400
71245502104
oct325032640
9126074310
1055850400
1129587261
1216854a00
13b756298
1475bb904
154d83400
hex35435a0

55850400 has 108 divisors (see below), whose sum is σ = 196967862. Its totient is φ = 14891520.

The previous prime is 55850381. The next prime is 55850419. The reversal of 55850400 is 405855.

It is an interprime number because it is at equal distance from previous prime (55850381) and next prime (55850419).

It can be written as a sum of positive squares in 3 ways, for example, as 48944016 + 6906384 = 6996^2 + 2628^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3322 + ... + 11078.

Almost surely, 255850400 is an apocalyptic number.

55850400 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 55850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98483931).

55850400 is an abundant number, since it is smaller than the sum of its proper divisors (141117462).

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

55850400 is a wasteful number, since it uses less digits than its factorization.

55850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 55850400 is about 7473.3125185556. The cubic root of 55850400 is about 382.2452487980.

The spelling of 55850400 in words is "fifty-five million, eight hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 7757 15514 23271 31028 38785 46542 62056 69813 77570 93084 116355 124112 139626 155140 186168 193925 232710 248224 279252 310280 349065 372336 387850 465420 558504 581775 620560 698130 744672 775700 930840 1117008 1163550 1241120 1396260 1551400 1745325 1861680 2234016 2327100 2792520 3102800 3490650 3723360 4654200 5585040 6205600 6981300 9308400 11170080 13962600 18616800 27925200 55850400