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55148400 = 24325215319
BaseRepresentation
bin1101001001011…
…1111101110000
310211202211101100
43102113331300
5103104222100
65250004400
71236516336
oct322277560
9124684340
1055148400
112914789a
1216576700
13b56b8b8
147477b56
154c95400
hex3497f70

55148400 has 90 divisors (see below), whose sum is σ = 191392760. Its totient is φ = 14705280.

The previous prime is 55148383. The next prime is 55148413. The reversal of 55148400 is 484155.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4060 + ... + 11259.

Almost surely, 255148400 is an apocalyptic number.

55148400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55148400 is an abundant number, since it is smaller than the sum of its proper divisors (136244360).

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

55148400 is a wasteful number, since it uses less digits than its factorization.

55148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15343 (or 15329 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 55148400 is about 7426.1968732320. The cubic root of 55148400 is about 380.6369741515.

The spelling of 55148400 in words is "fifty-five million, one hundred forty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 15319 30638 45957 61276 76595 91914 122552 137871 153190 183828 229785 245104 275742 306380 367656 382975 459570 551484 612760 689355 735312 765950 919140 1102968 1148925 1225520 1378710 1531900 1838280 2205936 2297850 2757420 3063800 3446775 3676560 4595700 5514840 6127600 6893550 9191400 11029680 13787100 18382800 27574200 55148400