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48375680 = 275131577
BaseRepresentation
bin1011100010001…
…0011110000000
310101000201221212
42320202132000
544341010210
64444505252
71125120653
oct270423600
9111021855
1048375680
1125341401
121424b228
13a039c82
1465d389a
1543a8805
hex2e22780

48375680 has 64 divisors (see below), whose sum is σ = 116732880. Its totient is φ = 19169280.

The previous prime is 48375673. The next prime is 48375703. The reversal of 48375680 is 8657384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83552 + ... + 84128.

Almost surely, 248375680 is an apocalyptic number.

48375680 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 48375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58366440).

48375680 is an abundant number, since it is smaller than the sum of its proper divisors (68357200).

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

48375680 is a wasteful number, since it uses less digits than its factorization.

48375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 48375680 is about 6955.2627556405. The cubic root of 48375680 is about 364.3697888370.

The spelling of 48375680 in words is "forty-eight million, three hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 262 320 524 577 640 655 1048 1154 1310 2096 2308 2620 2885 4192 4616 5240 5770 8384 9232 10480 11540 16768 18464 20960 23080 36928 41920 46160 73856 75587 83840 92320 151174 184640 302348 369280 377935 604696 755870 1209392 1511740 2418784 3023480 4837568 6046960 9675136 12093920 24187840 48375680