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48080700 = 223252411303
BaseRepresentation
bin1011011101101…
…0011100111100
310100110202022200
42313122130330
544302040300
64434311500
71122451653
oct267323474
9110422280
1048080700
112515a818
1214128590
139c65925
14655819a
15434b200
hex2dda73c

48080700 has 108 divisors (see below), whose sum is σ = 154500528. Its totient is φ = 12499200.

The previous prime is 48080689. The next prime is 48080701. The reversal of 48080700 is 708084.

It is a happy number.

It is a super-3 number, since 3×480807003 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48080701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36249 + ... + 37551.

Almost surely, 248080700 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 48080700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77250264).

48080700 is an abundant number, since it is smaller than the sum of its proper divisors (106419828).

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

48080700 is a wasteful number, since it uses less digits than its factorization.

48080700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 48080700 is about 6934.0248052628. The cubic root of 48080700 is about 363.6276734666.

Adding to 48080700 its reverse (708084), we get a palindrome (48788784).

The spelling of 48080700 in words is "forty-eight million, eighty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1303 1476 1845 2050 2460 2606 3075 3690 3909 4100 5212 6150 6515 7380 7818 9225 11727 12300 13030 15636 18450 19545 23454 26060 32575 36900 39090 46908 53423 58635 65150 78180 97725 106846 117270 130300 160269 195450 213692 234540 267115 293175 320538 390900 480807 534230 586350 641076 801345 961614 1068460 1172700 1335575 1602690 1923228 2404035 2671150 3205380 4006725 4808070 5342300 8013450 9616140 12020175 16026900 24040350 48080700