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48933760 = 275157487
BaseRepresentation
bin1011101010101…
…0101110000000
310102002002111111
42322222232000
5100011340020
64504453104
71132634011
oct272525600
9112062444
1048933760
1125692727
121447a194
13a1a3cb5
1466db008
154468d5a
hex2eaab80

48933760 has 64 divisors (see below), whose sum is σ = 117969120. Its totient is φ = 19408896.

The previous prime is 48933751. The next prime is 48933761. The reversal of 48933760 is 6733984.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48933761) 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, 100237 + ... + 100723.

Almost surely, 248933760 is an apocalyptic number.

48933760 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 48933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58984560).

48933760 is an abundant number, since it is smaller than the sum of its proper divisors (69035360).

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

48933760 is a wasteful number, since it uses less digits than its factorization.

48933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 48933760 is about 6995.2669713171. The cubic root of 48933760 is about 365.7656038477.

The spelling of 48933760 in words is "forty-eight million, nine hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 314 320 487 628 640 785 974 1256 1570 1948 2435 2512 3140 3896 4870 5024 6280 7792 9740 10048 12560 15584 19480 20096 25120 31168 38960 50240 62336 76459 77920 100480 152918 155840 305836 311680 382295 611672 764590 1223344 1529180 2446688 3058360 4893376 6116720 9786752 12233440 24466880 48933760