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48769920 = 273258467
BaseRepresentation
bin1011101000001…
…0101110000000
310101202202202100
42322002232000
544441114140
64501150400
71131352233
oct272025600
9111682670
1048769920
1125590621
12143bb400
13a147554
14669741a
154435530
hex2e82b80

48769920 has 96 divisors (see below), whose sum is σ = 168428520. Its totient is φ = 13003776.

The previous prime is 48769891. The next prime is 48769933. The reversal of 48769920 is 2996784.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1527 + ... + 9993.

Almost surely, 248769920 is an apocalyptic number.

48769920 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 48769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84214260).

48769920 is an abundant number, since it is smaller than the sum of its proper divisors (119658600).

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

48769920 is a wasteful number, since it uses less digits than its factorization.

48769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8492 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 48769920 is about 6983.5463770208. The cubic root of 48769920 is about 365.3569286387.

It can be divided in two parts, 487 and 69920, that added together give a palindrome (70407).

The spelling of 48769920 in words is "forty-eight million, seven hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 8467 16934 25401 33868 42335 50802 67736 76203 84670 101604 127005 135472 152406 169340 203208 254010 270944 304812 338680 381015 406416 508020 541888 609624 677360 762030 812832 1016040 1083776 1219248 1354720 1524060 1625664 2032080 2438496 2709440 3048120 3251328 4064160 4876992 5418880 6096240 8128320 9753984 12192480 16256640 24384960 48769920