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48372820 = 2251728369
BaseRepresentation
bin1011100010000…
…1110001010100
310101000121000221
42320201301110
544340412240
64444444124
71125106426
oct270416124
9111017027
1048372820
112533a241
1214249644
13a038892
1465d2816
1543a7a4a
hex2e21c54

48372820 has 36 divisors (see below), whose sum is σ = 107922780. Its totient is φ = 18208768.

The previous prime is 48372809. The next prime is 48372827. The reversal of 48372820 is 2827384.

It can be written as a sum of positive squares in 6 ways, for example, as 5391684 + 42981136 = 2322^2 + 6556^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48372827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1596 + ... + 9964.

It is an arithmetic number, because the mean of its divisors is an integer number (2997855).

Almost surely, 248372820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48372820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53961390).

48372820 is an abundant number, since it is smaller than the sum of its proper divisors (59549960).

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

48372820 is a wasteful number, since it uses less digits than its factorization.

48372820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412 (or 8393 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 48372820 is about 6955.0571528924. The cubic root of 48372820 is about 364.3626081067.

The spelling of 48372820 in words is "forty-eight million, three hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 8369 16738 33476 41845 83690 142273 167380 284546 569092 711365 1422730 2418641 2845460 4837282 9674564 12093205 24186410 48372820