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48723312 = 2431128389
BaseRepresentation
bin1011100111011…
…1010101110000
310101200101211010
42321313111300
544433121222
64500150520
71131066321
oct271672560
9111611733
1048723312
1125559600
1214398440
13a12c281
146684448
15442680c
hex2e77570

48723312 has 60 divisors (see below), whose sum is σ = 138367880. Its totient is φ = 14762880.

The previous prime is 48723307. The next prime is 48723319. The reversal of 48723312 is 21332784.

It is a super-2 number, since 2×487233122 = 4747922264498688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48723312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48723319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1614 + ... + 10002.

Almost surely, 248723312 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 48723312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69183940).

48723312 is an abundant number, since it is smaller than the sum of its proper divisors (89644568).

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

48723312 is a wasteful number, since it uses less digits than its factorization.

48723312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8405 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 48723312 is about 6980.2085928717. The cubic root of 48723312 is about 365.2405045315.

The spelling of 48723312 in words is "forty-eight million, seven hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 8389 16778 25167 33556 50334 67112 92279 100668 134224 184558 201336 276837 369116 402672 553674 738232 1015069 1107348 1476464 2030138 2214696 3045207 4060276 4429392 6090414 8120552 12180828 16241104 24361656 48723312