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48040400 = 2452831447
BaseRepresentation
bin1011011101000…
…0100111010000
310100101201001002
42313100213100
544244243100
64433401132
71122223322
oct267204720
9110351032
1048040400
1125132511
12141091a8
139c50495
146547612
15433e2d5
hex2dd09d0

48040400 has 60 divisors (see below), whose sum is σ = 116888352. Its totient is φ = 18971520.

The previous prime is 48040357. The next prime is 48040409. The reversal of 48040400 is 404084.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48040409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32477 + ... + 33923.

Almost surely, 248040400 is an apocalyptic number.

48040400 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 48040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58444176).

48040400 is an abundant number, since it is smaller than the sum of its proper divisors (68847952).

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

48040400 is a wasteful number, since it uses less digits than its factorization.

48040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 48040400 is about 6931.1182358982. The cubic root of 48040400 is about 363.5260506297.

Adding to 48040400 its reverse (404084), we get a palindrome (48444484).

The spelling of 48040400 in words is "forty-eight million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 166 200 332 400 415 664 830 1328 1447 1660 2075 2894 3320 4150 5788 6640 7235 8300 11576 14470 16600 23152 28940 33200 36175 57880 72350 115760 120101 144700 240202 289400 480404 578800 600505 960808 1201010 1921616 2402020 3002525 4804040 6005050 9608080 12010100 24020200 48040400