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46875000 = 23359
BaseRepresentation
bin1011001011010…
…0000101111000
310021012111102010
42302310011320
544000000000
64352405520
71106300544
oct262640570
9107174363
1046875000
1124506977
12138468a0
139932bb3
146322a24
1541add50
hex2cb4178

46875000 has 80 divisors (see below), whose sum is σ = 146484360. Its totient is φ = 12500000.

The previous prime is 46874983. The next prime is 46875011. The reversal of 46875000 is 57864.

It is a happy number.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=250.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9374998 + ... + 9375002.

Almost surely, 246875000 is an apocalyptic number.

46875000 is a gapful number since it is divisible by the number (40) 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 46875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73242180).

46875000 is an abundant number, since it is smaller than the sum of its proper divisors (99609360).

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

46875000 is an frugal number, since it uses more digits than its factorization.

46875000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 46875000 is about 6846.5319688146. The cubic root of 46875000 is about 360.5623925769.

Multiplying 46875000 by its sum of digits (30), we get a square (1406250000 = 375002).

46875000 divided by its sum of digits (30) gives a square (1562500 = 12502).

The spelling of 46875000 in words is "forty-six million, eight hundred seventy-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3125 3750 5000 6250 7500 9375 12500 15000 15625 18750 25000 31250 37500 46875 62500 75000 78125 93750 125000 156250 187500 234375 312500 375000 390625 468750 625000 781250 937500 1171875 1562500 1875000 1953125 2343750 3125000 3906250 4687500 5859375 7812500 9375000 11718750 15625000 23437500 46875000