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47125080 = 23325791657
BaseRepresentation
bin1011001111000…
…1001001011000
310021200012110100
42303301021120
544031000310
64402015400
71111361622
oct263611130
9107605410
1047125080
1124667852
1213947560
1399bc982
146389c12
15420cec0
hex2cf1258

47125080 has 96 divisors (see below), whose sum is σ = 155188800. Its totient is φ = 12400128.

The previous prime is 47125079. The next prime is 47125081. The reversal of 47125080 is 8052174.

It is an interprime number because it is at equal distance from previous prime (47125079) and next prime (47125081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47125081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27612 + ... + 29268.

It is an arithmetic number, because the mean of its divisors is an integer number (1616550).

Almost surely, 247125080 is an apocalyptic number.

47125080 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 47125080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77594400).

47125080 is an abundant number, since it is smaller than the sum of its proper divisors (108063720).

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

47125080 is a wasteful number, since it uses less digits than its factorization.

47125080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 47125080 is about 6864.7709357268. The cubic root of 47125080 is about 361.2024605889.

The spelling of 47125080 in words is "forty-seven million, one hundred twenty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1657 1896 2370 2844 3160 3314 3555 4740 4971 5688 6628 7110 8285 9480 9942 13256 14220 14913 16570 19884 24855 28440 29826 33140 39768 49710 59652 66280 74565 99420 119304 130903 149130 198840 261806 298260 392709 523612 596520 654515 785418 1047224 1178127 1309030 1570836 1963545 2356254 2618060 3141672 3927090 4712508 5236120 5890635 7854180 9425016 11781270 15708360 23562540 47125080