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48867456 = 2731123503
BaseRepresentation
bin1011101001101…
…0100010000000
310101221201112210
42322122202000
5100002224311
64503222120
71132236501
oct272324200
9111851483
1048867456
1125647930
1214447940
13a17ca71
1466c0ba8
1544543a6
hex2e9a880

48867456 has 128 divisors (see below), whose sum is σ = 148055040. Its totient is φ = 14136320.

The previous prime is 48867443. The next prime is 48867461. The reversal of 48867456 is 65476884.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96901 + ... + 97403.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 248867456 is an apocalyptic number.

48867456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48867456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027520).

48867456 is an abundant number, since it is smaller than the sum of its proper divisors (99187584).

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

48867456 is a wasteful number, since it uses less digits than its factorization.

48867456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 48867456 is about 6990.5261604546. The cubic root of 48867456 is about 365.6003281475.

The spelling of 48867456 in words is "forty-eight million, eight hundred sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 264 276 352 368 384 503 506 528 552 704 736 759 1006 1012 1056 1104 1408 1472 1509 1518 2012 2024 2112 2208 2944 3018 3036 4024 4048 4224 4416 5533 6036 6072 8048 8096 8832 11066 11569 12072 12144 16096 16192 16599 22132 23138 24144 24288 32192 32384 33198 34707 44264 46276 48288 48576 64384 66396 69414 88528 92552 96576 97152 127259 132792 138828 177056 185104 193152 254518 265584 277656 354112 370208 381777 509036 531168 555312 708224 740416 763554 1018072 1062336 1110624 1480832 1527108 2036144 2124672 2221248 3054216 4072288 4442496 6108432 8144576 12216864 16289152 24433728 48867456