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48797472 = 2531931863
BaseRepresentation
bin1011101000100…
…1011100100000
310101211011112210
42322021130200
544443004342
64501522120
71131525453
oct272113440
9111734483
1048797472
11255aa299
1214413340
13a156c59
1466a349a
15443d79c
hex2e89720

48797472 has 96 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 14895360.

The previous prime is 48797461. The next prime is 48797477. The reversal of 48797472 is 27479784.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (48797477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56113 + ... + 56975.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 248797472 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 48797472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

48797472 is an abundant number, since it is smaller than the sum of its proper divisors (90548448).

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

48797472 is a wasteful number, since it uses less digits than its factorization.

48797472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 918 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 48797472 is about 6985.5187352122. The cubic root of 48797472 is about 365.4257170714.

The spelling of 48797472 in words is "forty-eight million, seven hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 863 912 992 1178 1488 1726 1767 1824 2356 2589 2976 3452 3534 4712 5178 6904 7068 9424 10356 13808 14136 16397 18848 20712 26753 27616 28272 32794 41424 49191 53506 56544 65588 80259 82848 98382 107012 131176 160518 196764 214024 262352 321036 393528 428048 508307 524704 642072 787056 856096 1016614 1284144 1524921 1574112 2033228 2568288 3049842 4066456 6099684 8132912 12199368 16265824 24398736 48797472