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48152364 = 223131767271
BaseRepresentation
bin1011011110101…
…1111100101100
310100121101121220
42313223330230
544311333424
64440023340
71123200621
oct267537454
9110541556
1048152364
11251a9647
1214161b50
139c8c430
146576348
154362579
hex2debf2c

48152364 has 96 divisors (see below), whose sum is σ = 130507776. Its totient is φ = 13685760.

The previous prime is 48152359. The next prime is 48152387. The reversal of 48152364 is 46325184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177549 + ... + 177819.

It is an arithmetic number, because the mean of its divisors is an integer number (1359456).

Almost surely, 248152364 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 48152364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65253888).

48152364 is an abundant number, since it is smaller than the sum of its proper divisors (82355412).

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

48152364 is a wasteful number, since it uses less digits than its factorization.

48152364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 48152364 is about 6939.1904426957. The cubic root of 48152364 is about 363.8082454172.

It can be divided in two parts, 48152 and 364, that added together give a triangular number (48516 = T311).

The spelling of 48152364 in words is "forty-eight million, one hundred fifty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 67 68 78 102 134 156 201 204 221 268 271 402 442 542 663 804 813 871 884 1084 1139 1326 1626 1742 2278 2613 2652 3252 3417 3484 3523 4556 4607 5226 6834 7046 9214 10452 10569 13668 13821 14092 14807 18157 18428 21138 27642 29614 36314 42276 44421 54471 55284 59228 59891 72628 88842 108942 119782 177684 179673 217884 236041 239564 308669 359346 472082 617338 708123 718692 926007 944164 1234676 1416246 1852014 2832492 3704028 4012697 8025394 12038091 16050788 24076182 48152364