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55292400 = 24325215359
BaseRepresentation
bin1101001011101…
…1000111110000
310212001010220200
43102323013300
5103123324100
65253035200
71240656222
oct322730760
9125033820
1055292400
1129235aa9
1216625b00
13b5bc2c7
1474b4412
154cc2e00
hex34bb1f0

55292400 has 90 divisors (see below), whose sum is σ = 191892480. Its totient is φ = 14743680.

The previous prime is 55292387. The next prime is 55292431. The reversal of 55292400 is 429255.

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, 4080 + ... + 11279.

Almost surely, 255292400 is an apocalyptic number.

55292400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55292400 is an abundant number, since it is smaller than the sum of its proper divisors (136600080).

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

55292400 is a wasteful number, since it uses less digits than its factorization.

55292400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15383 (or 15369 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55292400 is about 7435.8859593192. The cubic root of 55292400 is about 380.9679845791.

The spelling of 55292400 in words is "fifty-five million, two hundred ninety-two 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 15359 30718 46077 61436 76795 92154 122872 138231 153590 184308 230385 245744 276462 307180 368616 383975 460770 552924 614360 691155 737232 767950 921540 1105848 1151925 1228720 1382310 1535900 1843080 2211696 2303850 2764620 3071800 3455775 3686160 4607700 5529240 6143600 6911550 9215400 11058480 13823100 18430800 27646200 55292400