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48213144 = 233671181
BaseRepresentation
bin1011011111101…
…0110010011000
310100201111000000
42313322302120
544320310034
64441213000
71123543050
oct267726230
9110644000
1048213144
1125240281
1214191160
139cb0cb5
146590560
154375599
hex2dfac98

48213144 has 112 divisors (see below), whose sum is σ = 155031120. Its totient is φ = 13763520.

The previous prime is 48213131. The next prime is 48213161. The reversal of 48213144 is 44131284.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40234 + ... + 41414.

Almost surely, 248213144 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 48213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77515560).

48213144 is an abundant number, since it is smaller than the sum of its proper divisors (106817976).

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

48213144 is a wasteful number, since it uses less digits than its factorization.

48213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1193 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 48213144 is about 6943.5685349826. The cubic root of 48213144 is about 363.9612525675.

The spelling of 48213144 in words is "forty-eight million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1181 1458 1512 1701 1944 2268 2362 2916 3402 3543 4536 4724 5103 5832 6804 7086 8267 9448 10206 10629 13608 14172 16534 20412 21258 24801 28344 31887 33068 40824 42516 49602 63774 66136 74403 85032 95661 99204 127548 148806 191322 198408 223209 255096 286983 297612 382644 446418 573966 595224 669627 765288 860949 892836 1147932 1339254 1721898 1785672 2008881 2295864 2678508 3443796 4017762 5357016 6026643 6887592 8035524 12053286 16071048 24106572 48213144