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47080480 = 2551719911
BaseRepresentation
bin1011001110011…
…0010000100000
310021120221021111
42303212100200
544023033410
64401033104
71111114606
oct263462040
9107527244
1047080480
1124637297
1213925794
1399a5595
146377876
1541eeb8a
hex2ce6420

47080480 has 96 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 16773120.

The previous prime is 47080477. The next prime is 47080489. The reversal of 47080480 is 8408074.

It is not an unprimeable number, because it can be changed into a prime (47080489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51225 + ... + 52135.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 247080480 is an apocalyptic number.

47080480 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 47080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

47080480 is an abundant number, since it is smaller than the sum of its proper divisors (77024480).

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

47080480 is a wasteful number, since it uses less digits than its factorization.

47080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 47080480 is about 6861.5216971165. The cubic root of 47080480 is about 361.0884751798.

The spelling of 47080480 in words is "forty-seven million, eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 136 152 160 170 190 272 304 323 340 380 544 608 646 680 760 911 1292 1360 1520 1615 1822 2584 2720 3040 3230 3644 4555 5168 6460 7288 9110 10336 12920 14576 15487 17309 18220 25840 29152 30974 34618 36440 51680 61948 69236 72880 77435 86545 123896 138472 145760 154870 173090 247792 276944 294253 309740 346180 495584 553888 588506 619480 692360 1177012 1238960 1384720 1471265 2354024 2477920 2769440 2942530 4708048 5885060 9416096 11770120 23540240 47080480