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47768320 = 28567557
BaseRepresentation
bin1011011000111…
…0001100000000
310022212212211001
42312032030000
544212041240
64423501344
71120011145
oct266161400
9108785731
1047768320
1124a67056
1213bb7854
139b866a2
1464b63cc
1542d889a
hex2d8e300

47768320 has 72 divisors (see below), whose sum is σ = 116336304. Its totient is φ = 18788352.

The previous prime is 47768311. The next prime is 47768327. The reversal of 47768320 is 2386774.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47768320.

It is not an unprimeable number, because it can be changed into a prime (47768327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85482 + ... + 86038.

It is an arithmetic number, because the mean of its divisors is an integer number (1615782).

Almost surely, 247768320 is an apocalyptic number.

47768320 is a gapful number since it is divisible by the number (40) 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 47768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58168152).

47768320 is an abundant number, since it is smaller than the sum of its proper divisors (68567984).

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

47768320 is an equidigital number, since it uses as much as digits as its factorization.

47768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 47768320 is about 6911.4629420984. The cubic root of 47768320 is about 362.8384662776.

The spelling of 47768320 in words is "forty-seven million, seven hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 536 557 640 670 1072 1114 1280 1340 2144 2228 2680 2785 4288 4456 5360 5570 8576 8912 10720 11140 17152 17824 21440 22280 35648 37319 42880 44560 71296 74638 85760 89120 142592 149276 178240 186595 298552 356480 373190 597104 712960 746380 1194208 1492760 2388416 2985520 4776832 5971040 9553664 11942080 23884160 47768320