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48851920 = 24513107439
BaseRepresentation
bin1011101001011…
…0101111010000
310101220221020101
42322112233100
5100001230140
64503022144
71132143265
oct272265720
9111827211
1048851920
1125637197
121443a954
13a175980
1466b926c
15444e99a
hex2e96bd0

48851920 has 80 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 17828352.

The previous prime is 48851917. The next prime is 48851923. The reversal of 48851920 is 2915884.

It is an interprime number because it is at equal distance from previous prime (48851917) and next prime (48851923).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 48851920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48851923) 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, 111061 + ... + 111499.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 248851920 is an apocalyptic number.

48851920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48851920 is the 5707-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48851920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

48851920 is an abundant number, since it is smaller than the sum of its proper divisors (74890160).

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

48851920 is a wasteful number, since it uses less digits than its factorization.

48851920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 48851920 is about 6989.4148539059. The cubic root of 48851920 is about 365.5615800098.

The spelling of 48851920 in words is "forty-eight million, eight hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 107 130 208 214 260 428 439 520 535 856 878 1040 1070 1391 1712 1756 2140 2195 2782 3512 4280 4390 5564 5707 6955 7024 8560 8780 11128 11414 13910 17560 22256 22828 27820 28535 35120 45656 46973 55640 57070 91312 93946 111280 114140 187892 228280 234865 375784 456560 469730 610649 751568 939460 1221298 1878920 2442596 3053245 3757840 4885192 6106490 9770384 12212980 24425960 48851920