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755550048 = 253111937657
BaseRepresentation
bin101101000010001…
…100011101100000
31221122200220211010
4231002030131200
53021410100143
6202550020520
724503032551
oct5502143540
91848626733
10755550048
11358540a30
12191047740
13c06bba46
14724b8328
15464e6a33
hex2d08c760

755550048 has 96 divisors (see below), whose sum is σ = 2277555840. Its totient is φ = 216898560.

The previous prime is 755550043. The next prime is 755550049. The reversal of 755550048 is 840055557.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 755549988 and 755550015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755550041) 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, 1236 + ... + 38892.

It is an arithmetic number, because the mean of its divisors is an integer number (23724540).

Almost surely, 2755550048 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 755550048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138777920).

755550048 is an abundant number, since it is smaller than the sum of its proper divisors (1522005792).

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

755550048 is a wasteful number, since it uses less digits than its factorization.

755550048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37700 (or 37692 counting only the distinct ones).

The product of its (nonzero) digits is 140000, while the sum is 39.

The square root of 755550048 is about 27487.2706538863. The cubic root of 755550048 is about 910.7959256319.

The spelling of 755550048 in words is "seven hundred fifty-five million, five hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 37657 75314 112971 150628 225942 301256 414227 451884 602512 715483 828454 903768 1205024 1242681 1430966 1656908 1807536 2146449 2485362 2861932 3313816 3615072 4292898 4970724 5723864 6627632 7870313 8585796 9941448 11447728 13255264 15740626 17171592 19882896 22895456 23610939 31481252 34343184 39765792 47221878 62962504 68686368 94443756 125925008 188887512 251850016 377775024 755550048