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48309536 = 2511711933
BaseRepresentation
bin1011100001001…
…0010100100000
310100220101020002
42320102110200
544331401121
64443235132
71124424062
oct270222440
9110811202
1048309536
11252a6740
1214218aa8
13a015b32
1465b7732
154393e0b
hex2e12520

48309536 has 48 divisors (see below), whose sum is σ = 105271488. Its totient is φ = 21638400.

The previous prime is 48309523. The next prime is 48309539. The reversal of 48309536 is 63590384.

It is a super-2 number, since 2×483095362 = 4667622537070592, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 48309536 parts by 9829 straight cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 48309536.

It is not an unprimeable number, because it can be changed into a prime (48309539) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24026 + ... + 25958.

It is an arithmetic number, because the mean of its divisors is an integer number (2193156).

Almost surely, 248309536 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 48309536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52635744).

48309536 is an abundant number, since it is smaller than the sum of its proper divisors (56961952).

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

48309536 is a wasteful number, since it uses less digits than its factorization.

48309536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 48309536 is about 6950.5061686182. The cubic root of 48309536 is about 364.2036456563.

The spelling of 48309536 in words is "forty-eight million, three hundred nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 284 352 568 781 1136 1562 1933 2272 3124 3866 6248 7732 12496 15464 21263 24992 30928 42526 61856 85052 137243 170104 274486 340208 548972 680416 1097944 1509673 2195888 3019346 4391776 6038692 12077384 24154768 48309536