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47484880 = 24523131197
BaseRepresentation
bin1011010100100…
…0111111010000
310022100111000021
42311020333100
544124004010
64413433224
71114420612
oct265107720
9108314007
1047484880
1124893103
1213a9b814
139ab7681
146440db2
15427e8da
hex2d48fd0

47484880 has 80 divisors (see below), whose sum is σ = 116671104. Its totient is φ = 17937920.

The previous prime is 47484863. The next prime is 47484887. The reversal of 47484880 is 8848474.

47484880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×474848802 = 4509627657228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47484887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240942 + ... + 241138.

Almost surely, 247484880 is an apocalyptic number.

47484880 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 47484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58335552).

47484880 is an abundant number, since it is smaller than the sum of its proper divisors (69186224).

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

47484880 is a wasteful number, since it uses less digits than its factorization.

47484880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 43.

The square root of 47484880 is about 6890.9273686493. The cubic root of 47484880 is about 362.1193912430.

The spelling of 47484880 in words is "forty-seven million, four hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 131 184 197 230 262 368 394 460 524 655 788 920 985 1048 1310 1576 1840 1970 2096 2620 3013 3152 3940 4531 5240 6026 7880 9062 10480 12052 15065 15760 18124 22655 24104 25807 30130 36248 45310 48208 51614 60260 72496 90620 103228 120520 129035 181240 206456 241040 258070 362480 412912 516140 593561 1032280 1187122 2064560 2374244 2967805 4748488 5935610 9496976 11871220 23742440 47484880