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48391968 = 253539511
BaseRepresentation
bin1011100010011…
…0011100100000
310101001120022010
42320212130200
544342020333
64445112520
71125216312
oct270463440
9111046263
1048391968
1125352669
1214258740
13a044501
1465d97b2
1543ad563
hex2e26720

48391968 has 48 divisors (see below), whose sum is σ = 129439296. Its totient is φ = 15824640.

The previous prime is 48391963. The next prime is 48391969. The reversal of 48391968 is 86919384.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (48391963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333 + ... + 9843.

It is an arithmetic number, because the mean of its divisors is an integer number (2696652).

Almost surely, 248391968 is an apocalyptic number.

48391968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48391968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64719648).

48391968 is an abundant number, since it is smaller than the sum of its proper divisors (81047328).

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

48391968 is a wasteful number, since it uses less digits than its factorization.

48391968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9577 (or 9569 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 48391968 is about 6956.4335690065. The cubic root of 48391968 is about 364.4106784545.

The spelling of 48391968 in words is "forty-eight million, three hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 9511 19022 28533 38044 57066 76088 114132 152176 228264 304352 456528 504083 913056 1008166 1512249 2016332 3024498 4032664 6048996 8065328 12097992 16130656 24195984 48391968