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48380920 = 23571311319
BaseRepresentation
bin1011100010001…
…1101111111000
310101001000010221
42320203233320
544341142140
64444545424
71125142150
oct270435770
9111030127
1048380920
1125345335
1214252274
13a03c483
1465d5760
1543aa14a
hex2e23bf8

48380920 has 64 divisors (see below), whose sum is σ = 125452800. Its totient is φ = 16448640.

The previous prime is 48380911. The next prime is 48380921. The reversal of 48380920 is 2908384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48380921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36021 + ... + 37339.

It is an arithmetic number, because the mean of its divisors is an integer number (1960200).

Almost surely, 248380920 is an apocalyptic number.

48380920 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 48380920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62726400).

48380920 is an abundant number, since it is smaller than the sum of its proper divisors (77071880).

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

48380920 is a wasteful number, since it uses less digits than its factorization.

48380920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 48380920 is about 6955.6394386138. The cubic root of 48380920 is about 364.3829444058.

The spelling of 48380920 in words is "forty-eight million, three hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 131 140 262 280 524 655 917 1048 1310 1319 1834 2620 2638 3668 4585 5240 5276 6595 7336 9170 9233 10552 13190 18340 18466 26380 36680 36932 46165 52760 73864 92330 172789 184660 345578 369320 691156 863945 1209523 1382312 1727890 2419046 3455780 4838092 6047615 6911560 9676184 12095230 24190460 48380920