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48354960 = 24351131783
BaseRepresentation
bin1011100001110…
…1011010010000
310100222200112110
42320131122100
544334324320
64444225320
71125003363
oct270353220
9110880473
1048354960
1125327885
121423b240
13a030704
1465ca0da
1543a25e0
hex2e1d690

48354960 has 80 divisors (see below), whose sum is σ = 151311744. Its totient is φ = 12773376.

The previous prime is 48354959. The next prime is 48354961. The reversal of 48354960 is 6945384.

It is an interprime number because it is at equal distance from previous prime (48354959) and next prime (48354961).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (48354961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26229 + ... + 28011.

Almost surely, 248354960 is an apocalyptic number.

48354960 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 48354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75655872).

48354960 is an abundant number, since it is smaller than the sum of its proper divisors (102956784).

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

48354960 is a wasteful number, since it uses less digits than its factorization.

48354960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 48354960 is about 6953.7730765391. The cubic root of 48354960 is about 364.3177597997.

The spelling of 48354960 in words is "forty-eight million, three hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1783 1808 2260 2712 3390 3566 4520 5349 5424 6780 7132 8915 9040 10698 13560 14264 17830 21396 26745 27120 28528 35660 42792 53490 71320 85584 106980 142640 201479 213960 402958 427920 604437 805916 1007395 1208874 1611832 2014790 2417748 3022185 3223664 4029580 4835496 6044370 8059160 9670992 12088740 16118320 24177480 48354960