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48217632 = 253598513
BaseRepresentation
bin1011011111101…
…1111000100000
310100201201011020
42313323320200
544320431012
64441245440
71123562121
oct267737040
9110651136
1048217632
1125243691
1214193880
139cb3058
146592048
154376a8c
hex2dfbe20

48217632 has 48 divisors (see below), whose sum is σ = 128731680. Its totient is φ = 15798272.

The previous prime is 48217621. The next prime is 48217639. The reversal of 48217632 is 23671284.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 48217593 and 48217602.

It is not an unprimeable number, because it can be changed into a prime (48217639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1408 + ... + 9920.

It is an arithmetic number, because the mean of its divisors is an integer number (2681910).

Almost surely, 248217632 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 48217632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64365840).

48217632 is an abundant number, since it is smaller than the sum of its proper divisors (80514048).

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

48217632 is a wasteful number, since it uses less digits than its factorization.

48217632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8577 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 48217632 is about 6943.8917042247. The cubic root of 48217632 is about 363.9725455282.

The spelling of 48217632 in words is "forty-eight million, two hundred seventeen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 8513 17026 25539 34052 51078 68104 102156 136208 204312 272416 408624 502267 817248 1004534 1506801 2009068 3013602 4018136 6027204 8036272 12054408 16072544 24108816 48217632