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56512500 = 2235511137
BaseRepresentation
bin1101011110010…
…0111111110100
310221100010120120
43113210333310
5103431400000
65335131540
71254230322
oct327447764
9127303516
1056512500
1129999750
1216b13bb0
13b928765
147710d12
154e646a0
hex35e4ff4

56512500 has 144 divisors (see below), whose sum is σ = 181113408. Its totient is φ = 13600000.

The previous prime is 56512499. The next prime is 56512513. The reversal of 56512500 is 521565.

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 47 ways as a sum of consecutive naturals, for example, 412432 + ... + 412568.

It is an arithmetic number, because the mean of its divisors is an integer number (1257732).

Almost surely, 256512500 is an apocalyptic number.

56512500 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 56512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90556704).

56512500 is an abundant number, since it is smaller than the sum of its proper divisors (124600908).

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

56512500 is a wasteful number, since it uses less digits than its factorization.

56512500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 56512500 is about 7517.4796308337. The cubic root of 56512500 is about 383.7498099006.

56512500 divided by its product of nonzero digits (1500) gives a triangular number (37675 = T274).

The spelling of 56512500 in words is "fifty-six million, five hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 137 150 165 220 250 274 275 300 330 375 411 500 548 550 625 660 685 750 822 825 1100 1250 1370 1375 1500 1507 1644 1650 1875 2055 2500 2740 2750 3014 3125 3300 3425 3750 4110 4125 4521 5500 6028 6250 6850 6875 7500 7535 8220 8250 9042 9375 10275 12500 13700 13750 15070 16500 17125 18084 18750 20550 20625 22605 27500 30140 34250 34375 37500 37675 41100 41250 45210 51375 68500 68750 75350 82500 85625 90420 102750 103125 113025 137500 150700 171250 188375 205500 206250 226050 256875 342500 376750 412500 428125 452100 513750 565125 753500 856250 941875 1027500 1130250 1284375 1712500 1883750 2260500 2568750 2825625 3767500 4709375 5137500 5651250 9418750 11302500 14128125 18837500 28256250 56512500