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48496640 = 218537
BaseRepresentation
bin1011100100000…
…0000000000000
310101020212212212
42321000000000
544403343030
64451241252
71126133423
oct271000000
9111225785
1048496640
1125414275
12142a9228
13a08004a
1466259ba
1543ce595
hex2e40000

48496640 has 76 divisors (see below), whose sum is σ = 119537436. Its totient is φ = 18874368.

The previous prime is 48496639. The next prime is 48496661. The reversal of 48496640 is 4669484.

It can be written as a sum of positive squares in 2 ways, for example, as 31719424 + 16777216 = 5632^2 + 4096^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1310702 + ... + 1310738.

It is an arithmetic number, because the mean of its divisors is an integer number (1572861).

Almost surely, 248496640 is an apocalyptic number.

48496640 is a gapful number since it is divisible by the number (40) 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 48496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59768718).

48496640 is an abundant number, since it is smaller than the sum of its proper divisors (71040796).

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

48496640 is an frugal number, since it uses more digits than its factorization.

48496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 48496640 is about 6963.9529004725. The cubic root of 48496640 is about 364.6732297795.

The spelling of 48496640 in words is "forty-eight million, four hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 1024 1184 1280 1480 2048 2368 2560 2960 4096 4736 5120 5920 8192 9472 10240 11840 16384 18944 20480 23680 32768 37888 40960 47360 65536 75776 81920 94720 131072 151552 163840 189440 262144 303104 327680 378880 606208 655360 757760 1212416 1310720 1515520 2424832 3031040 4849664 6062080 9699328 12124160 24248320 48496640