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47098416 = 24319431201
BaseRepresentation
bin1011001110101…
…0101000110000
310021121211212210
42303222220300
544024122131
64401252120
71111221111
oct263525060
9107554783
1047098416
1124649812
1213934040
1399b07b1
146380208
154205146
hex2ceaa30

47098416 has 80 divisors (see below), whose sum is σ = 131162240. Its totient is φ = 14515200.

The previous prime is 47098409. The next prime is 47098417. The reversal of 47098416 is 61489074.

It is a happy number.

47098416 is nontrivially palindromic in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (47098417) 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, 38616 + ... + 39816.

It is an arithmetic number, because the mean of its divisors is an integer number (1639528).

Almost surely, 247098416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47098416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65581120).

47098416 is an abundant number, since it is smaller than the sum of its proper divisors (84063824).

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

47098416 is a wasteful number, since it uses less digits than its factorization.

47098416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 47098416 is about 6862.8285713691. The cubic root of 47098416 is about 361.1343233433.

The spelling of 47098416 in words is "forty-seven million, ninety-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 43 48 57 76 86 114 129 152 172 228 258 304 344 456 516 688 817 912 1032 1201 1634 2064 2402 2451 3268 3603 4804 4902 6536 7206 9608 9804 13072 14412 19216 19608 22819 28824 39216 45638 51643 57648 68457 91276 103286 136914 154929 182552 206572 273828 309858 365104 413144 547656 619716 826288 981217 1095312 1239432 1962434 2478864 2943651 3924868 5887302 7849736 11774604 15699472 23549208 47098416