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48498816 = 273532383
BaseRepresentation
bin1011100100000…
…0100010000000
310101020222212110
42321000202000
544403430231
64451255320
71126142652
oct271004200
9111228773
1048498816
1125415973
12142aa540
13a081032
1466266d2
1543d0046
hex2e40880

48498816 has 64 divisors (see below), whose sum is σ = 131310720. Its totient is φ = 15854592.

The previous prime is 48498799. The next prime is 48498847. The reversal of 48498816 is 61889484.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19161 + ... + 21543.

It is an arithmetic number, because the mean of its divisors is an integer number (2051730).

Almost surely, 248498816 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 48498816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65655360).

48498816 is an abundant number, since it is smaller than the sum of its proper divisors (82811904).

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

48498816 is a wasteful number, since it uses less digits than its factorization.

48498816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2441 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 48498816 is about 6964.1091318273. The cubic root of 48498816 is about 364.6786838830.

The spelling of 48498816 in words is "forty-eight million, four hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2383 2544 3392 4766 5088 6784 7149 9532 10176 14298 19064 20352 28596 38128 57192 76256 114384 126299 152512 228768 252598 305024 378897 457536 505196 757794 915072 1010392 1515588 2020784 3031176 4041568 6062352 8083136 12124704 16166272 24249408 48498816