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48716352 = 2632831019
BaseRepresentation
bin1011100111010…
…1101001000000
310101200001021100
42321311221000
544432410402
64500054400
71131040116
oct271655100
9111601240
1048716352
1125554353
1214394400
13a129059
146681ab6
15442471c
hex2e75a40

48716352 has 84 divisors (see below), whose sum is σ = 141457680. Its totient is φ = 16027392.

The previous prime is 48716329. The next prime is 48716387. The reversal of 48716352 is 25361784.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime factors (1120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47299 + ... + 48317.

It is an arithmetic number, because the mean of its divisors is an integer number (1684020).

Almost surely, 248716352 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 48716352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70728840).

48716352 is an abundant number, since it is smaller than the sum of its proper divisors (92741328).

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

48716352 is a wasteful number, since it uses less digits than its factorization.

48716352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1107 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 48716352 is about 6979.7100226299. The cubic root of 48716352 is about 365.2231124806.

The spelling of 48716352 in words is "forty-eight million, seven hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 664 747 996 1019 1328 1494 1992 2038 2656 2988 3057 3984 4076 5312 5976 6114 7968 8152 9171 11952 12228 15936 16304 18342 23904 24456 32608 36684 47808 48912 65216 73368 84577 97824 146736 169154 195648 253731 293472 338308 507462 586944 676616 761193 1014924 1353232 1522386 2029848 2706464 3044772 4059696 5412928 6089544 8119392 12179088 16238784 24358176 48716352