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48693408 = 253598597
BaseRepresentation
bin1011100111000…
…0000010100000
310101121212210120
42321300002200
544431142113
64455400240
71130613201
oct271600240
9111555716
1048693408
1125539095
1214383080
13a11b78a
1466775a8
15441ca23
hex2e700a0

48693408 has 48 divisors (see below), whose sum is σ = 130001760. Its totient is φ = 15954176.

The previous prime is 48693401. The next prime is 48693431. The reversal of 48693408 is 80439684.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48693408.

It is not an unprimeable number, because it can be changed into a prime (48693401) 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, 1366 + ... + 9962.

It is an arithmetic number, because the mean of its divisors is an integer number (2708370).

Almost surely, 248693408 is an apocalyptic number.

48693408 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 48693408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65000880).

48693408 is an abundant number, since it is smaller than the sum of its proper divisors (81308352).

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

48693408 is a wasteful number, since it uses less digits than its factorization.

48693408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8669 (or 8661 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 48693408 is about 6978.0662077685. The cubic root of 48693408 is about 365.1657669514.

The spelling of 48693408 in words is "forty-eight million, six hundred ninety-three thousand, four hundred eight".

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 8597 17194 25791 34388 51582 68776 103164 137552 206328 275104 412656 507223 825312 1014446 1521669 2028892 3043338 4057784 6086676 8115568 12173352 16231136 24346704 48693408