Search a number
-
+
48321630 = 2335737691
BaseRepresentation
bin1011100001010…
…1010001011110
310100220222211000
42320111101132
544332243010
64443411130
71124504250
oct270252136
9110828730
1048321630
1125304835
1214223aa6
13a01b4a6
1465bbcd0
1543977c0
hex2e1545e

48321630 has 128 divisors (see below), whose sum is σ = 151464960. Its totient is φ = 10730880.

The previous prime is 48321619. The next prime is 48321631. The reversal of 48321630 is 3612384.

It is a happy number.

48321630 is a `hidden beast` number, since 4 + 8 + 3 + 21 + 630 = 666.

48321630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 48321594 and 48321603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48321631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69585 + ... + 70275.

It is an arithmetic number, because the mean of its divisors is an integer number (1183320).

Almost surely, 248321630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48321630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75732480).

48321630 is an abundant number, since it is smaller than the sum of its proper divisors (103143330).

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

48321630 is a wasteful number, since it uses less digits than its factorization.

48321630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 745 counting only the distinct ones).

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

The square root of 48321630 is about 6951.3761227544. The cubic root of 48321630 is about 364.2340351801.

The spelling of 48321630 in words is "forty-eight million, three hundred twenty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 37 42 45 54 63 70 74 90 105 111 126 135 185 189 210 222 259 270 315 333 370 378 518 555 630 666 691 777 945 999 1110 1295 1382 1554 1665 1890 1998 2073 2331 2590 3330 3455 3885 4146 4662 4837 4995 6219 6910 6993 7770 9674 9990 10365 11655 12438 13986 14511 18657 20730 23310 24185 25567 29022 31095 34965 37314 43533 48370 51134 62190 69930 72555 76701 87066 93285 127835 130599 145110 153402 178969 186570 217665 230103 255670 261198 357938 383505 435330 460206 536907 652995 690309 767010 894845 1073814 1150515 1305990 1380618 1610721 1789690 2301030 2684535 3221442 3451545 4832163 5369070 6903090 8053605 9664326 16107210 24160815 48321630