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48239680 = 2651271187
BaseRepresentation
bin1011100000000…
…1010001000000
310100202211101211
42320001101000
544322132210
64441535504
71124013316
oct270012100
9110684354
1048239680
1125259205
12141a4594
139cc00b8
14659a0b6
15437d38a
hex2e01440

48239680 has 56 divisors (see below), whose sum is σ = 115872768. Its totient is φ = 19127808.

The previous prime is 48239677. The next prime is 48239747. The reversal of 48239680 is 8693284.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 40047 + ... + 41233.

Almost surely, 248239680 is an apocalyptic number.

48239680 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 48239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57936384).

48239680 is an abundant number, since it is smaller than the sum of its proper divisors (67633088).

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

48239680 is a wasteful number, since it uses less digits than its factorization.

48239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 48239680 is about 6945.4791051446. The cubic root of 48239680 is about 364.0280137841.

The spelling of 48239680 in words is "forty-eight million, two hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 254 320 508 635 1016 1187 1270 2032 2374 2540 4064 4748 5080 5935 8128 9496 10160 11870 18992 20320 23740 37984 40640 47480 75968 94960 150749 189920 301498 379840 602996 753745 1205992 1507490 2411984 3014980 4823968 6029960 9647936 12059920 24119840 48239680