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48632130 = 2335296211
BaseRepresentation
bin1011100110000…
…1000101000010
310101111202202000
42321201011002
544422212010
64454204430
71130236431
oct271410502
9111452660
1048632130
11254a7048
1214353716
13a0c9911
14665d118
1544097c0
hex2e61142

48632130 has 64 divisors (see below), whose sum is σ = 134179200. Its totient is φ = 12519360.

The previous prime is 48632099. The next prime is 48632137. The reversal of 48632130 is 3123684.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48632094 and 48632103.

It is not an unprimeable number, because it can be changed into a prime (48632137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4725 + ... + 10935.

It is an arithmetic number, because the mean of its divisors is an integer number (2096550).

Almost surely, 248632130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48632130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67089600).

48632130 is an abundant number, since it is smaller than the sum of its proper divisors (85547070).

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

48632130 is a wasteful number, since it uses less digits than its factorization.

48632130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 48632130 is about 6973.6740675199. The cubic root of 48632130 is about 365.0125222451.

The spelling of 48632130 in words is "forty-eight million, six hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 6211 7830 12422 18633 31055 37266 55899 62110 93165 111798 167697 180119 186330 279495 335394 360238 540357 558990 838485 900595 1080714 1621071 1676970 1801190 2701785 3242142 4863213 5403570 8105355 9726426 16210710 24316065 48632130