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48364272 = 243211191607
BaseRepresentation
bin1011100001111…
…1101011110000
310101000011022100
42320133223300
544340124042
64444340400
71125042465
oct270375360
9111004270
1048364272
1125333880
1214244700
13a034a18
1465cd66c
1543a524c
hex2e1faf0

48364272 has 120 divisors (see below), whose sum is σ = 155525760. Its totient is φ = 13875840.

The previous prime is 48364259. The next prime is 48364301. The reversal of 48364272 is 27246384.

48364272 is a `hidden beast` number, since 4 + 8 + 3 + 642 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29293 + ... + 30899.

It is an arithmetic number, because the mean of its divisors is an integer number (1296048).

Almost surely, 248364272 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 48364272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77762880).

48364272 is an abundant number, since it is smaller than the sum of its proper divisors (107161488).

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

48364272 is a wasteful number, since it uses less digits than its factorization.

48364272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1642 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 48364272 is about 6954.4426088652. The cubic root of 48364272 is about 364.3411445723.

The spelling of 48364272 in words is "forty-eight million, three hundred sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1607 1672 1881 2508 2736 3214 3344 3762 4821 5016 6428 7524 9642 10032 12856 14463 15048 17677 19284 25712 28926 30096 30533 35354 38568 53031 57852 61066 70708 77136 91599 106062 115704 122132 141416 159093 183198 212124 231408 244264 274797 282832 318186 335863 366396 424248 488528 549594 636372 671726 732792 848496 1007589 1099188 1272744 1343452 1465584 2015178 2198376 2545488 2686904 3022767 4030356 4396752 5373808 6045534 8060712 12091068 16121424 24182136 48364272