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48069504 = 273371987
BaseRepresentation
bin1011011101011…
…1101110000000
310100110011222000
42313113232000
544301211004
64434144000
71122404220
oct267275600
9110404860
1048069504
112515236a
1214122000
139c607c2
146554080
154347c39
hex2dd7b80

48069504 has 128 divisors (see below), whose sum is σ = 162220800. Its totient is φ = 13727232.

The previous prime is 48069481. The next prime is 48069509. The reversal of 48069504 is 40596084.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×480695043 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48069509) 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, 23199 + ... + 25185.

It is an arithmetic number, because the mean of its divisors is an integer number (1267350).

Almost surely, 248069504 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 48069504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81110400).

48069504 is an abundant number, since it is smaller than the sum of its proper divisors (114151296).

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

48069504 is a wasteful number, since it uses less digits than its factorization.

48069504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48069504 is about 6933.2174349288. The cubic root of 48069504 is about 363.5994466765.

The spelling of 48069504 in words is "forty-eight million, sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 1987 2016 2688 3024 3456 3974 4032 5961 6048 7948 8064 11922 12096 13909 15896 17883 23844 24192 27818 31792 35766 41727 47688 53649 55636 63584 71532 83454 95376 107298 111272 125181 127168 143064 166908 190752 214596 222544 250362 254336 286128 333816 375543 381504 429192 445088 500724 572256 667632 751086 763008 858384 890176 1001448 1144512 1335264 1502172 1716768 1780352 2002896 2289024 2670528 3004344 3433536 4005792 5341056 6008688 6867072 8011584 12017376 16023168 24034752 48069504