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48337272 = 2332532239
BaseRepresentation
bin1011100001100…
…1000101111000
310100221210021100
42320121011320
544333243042
64444011400
71124600664
oct270310570
9110853240
1048337272
1125315565
1214230b60
13a025649
1465c38a4
15439c24c
hex2e19178

48337272 has 72 divisors (see below), whose sum is σ = 133988400. Its totient is φ = 15742272.

The previous prime is 48337243. The next prime is 48337279. The reversal of 48337272 is 27273384.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48337279) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 202129 + ... + 202367.

It is an arithmetic number, because the mean of its divisors is an integer number (1860950).

Almost surely, 248337272 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 48337272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66994200).

48337272 is an abundant number, since it is smaller than the sum of its proper divisors (85651128).

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

48337272 is a wasteful number, since it uses less digits than its factorization.

48337272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 297 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 48337272 is about 6952.5011326860. The cubic root of 48337272 is about 364.2733325170.

The spelling of 48337272 in words is "forty-eight million, three hundred thirty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 239 318 424 477 478 636 717 954 956 1272 1434 1908 1912 2151 2809 2868 3816 4302 5618 5736 8427 8604 11236 12667 16854 17208 22472 25281 25334 33708 38001 50562 50668 67416 76002 101124 101336 114003 152004 202248 228006 304008 456012 671351 912024 1342702 2014053 2685404 4028106 5370808 6042159 8056212 12084318 16112424 24168636 48337272