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48820728 = 23311199733
BaseRepresentation
bin1011101000111…
…1000111111000
310101212100110010
42322033013320
544444230403
64502221520
71131653325
oct272170770
9111770403
1048820728
1125615810
12144248a0
13a164708
1466abb4c
154445603
hex2e8f1f8

48820728 has 64 divisors (see below), whose sum is σ = 140169600. Its totient is φ = 14014080.

The previous prime is 48820711. The next prime is 48820729. The reversal of 48820728 is 82702884.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48820729) 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, 150 + ... + 9882.

It is an arithmetic number, because the mean of its divisors is an integer number (2190150).

Almost surely, 248820728 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 48820728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70084800).

48820728 is an abundant number, since it is smaller than the sum of its proper divisors (91348872).

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

48820728 is a wasteful number, since it uses less digits than its factorization.

48820728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9772 (or 9768 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 48820728 is about 6987.1831234053. The cubic root of 48820728 is about 365.4837596327.

The spelling of 48820728 in words is "forty-eight million, eight hundred twenty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 9733 19466 29199 38932 58398 77864 107063 116796 184927 214126 233592 321189 369854 428252 554781 642378 739708 856504 1109562 1284756 1479416 2034197 2219124 2569512 4068394 4438248 6102591 8136788 12205182 16273576 24410364 48820728