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48034368 = 263289937
BaseRepresentation
bin1011011100111…
…1001001000000
310100101101202200
42313033021000
544244044433
64433313200
71122166614
oct267171100
9110341680
1048034368
1125128a28
1214105800
139c4a805
146545344
15433c613
hex2dcf240

48034368 has 84 divisors (see below), whose sum is σ = 139377420. Its totient is φ = 15814656.

The previous prime is 48034309. The next prime is 48034381. The reversal of 48034368 is 86343084.

It can be written as a sum of positive squares in 2 ways, for example, as 5419584 + 42614784 = 2328^2 + 6528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50796 + ... + 51732.

It is an arithmetic number, because the mean of its divisors is an integer number (1659255).

Almost surely, 248034368 is an apocalyptic number.

48034368 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 48034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69688710).

48034368 is an abundant number, since it is smaller than the sum of its proper divisors (91343052).

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

48034368 is a wasteful number, since it uses less digits than its factorization.

48034368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 48034368 is about 6930.6830832177. The cubic root of 48034368 is about 363.5108350963.

The spelling of 48034368 in words is "forty-eight million, thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 144 178 192 267 288 356 534 576 712 801 937 1068 1424 1602 1874 2136 2811 2848 3204 3748 4272 5622 5696 6408 7496 8433 8544 11244 12816 14992 16866 17088 22488 25632 29984 33732 44976 51264 59968 67464 83393 89952 134928 166786 179904 250179 269856 333572 500358 539712 667144 750537 1000716 1334288 1501074 2001432 2668576 3002148 4002864 5337152 6004296 8005728 12008592 16011456 24017184 48034368