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4375417098 = 2313223434363
BaseRepresentation
bin1000001001100101…
…11001000100001010
3102021221010012220010
410010302321010022
532430101321343
62002100212350
7213266301033
oct40462710412
912257105803
104375417098
111945899698
12a2139a0b6
13549636900
142d7159a8a
151a91ced33
hex104cb910a

4375417098 has 96 divisors (see below), whose sum is σ = 10120011264. Its totient is φ = 1257512256.

The previous prime is 4375417091. The next prime is 4375417099. The reversal of 4375417098 is 8907145734.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4375417091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1000665 + ... + 1005027.

It is an arithmetic number, because the mean of its divisors is an integer number (105416784).

Almost surely, 24375417098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4375417098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060005632).

4375417098 is an abundant number, since it is smaller than the sum of its proper divisors (5744594166).

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

4375417098 is a wasteful number, since it uses less digits than its factorization.

4375417098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 4375417098 is about 66146.9356659853. The cubic root of 4375417098 is about 1635.5851288795.

The spelling of 4375417098 in words is "four billion, three hundred seventy-five million, four hundred seventeen thousand, ninety-eight".

Divisors: 1 2 3 6 13 23 26 39 43 46 69 78 86 129 138 169 258 299 338 507 559 598 897 989 1014 1118 1677 1794 1978 2967 3354 3887 4363 5934 7267 7774 8726 11661 12857 13089 14534 21801 23322 25714 26178 38571 43602 56719 77142 100349 113438 167141 170157 187609 200698 301047 334282 340314 375218 501423 562827 602094 737347 1002846 1125654 1304537 1474694 2212041 2438917 2609074 3913611 4315007 4424082 4877834 7316751 7827222 8630014 12945021 14633502 16958981 25890042 31705921 33917962 50876943 56095091 63411842 95117763 101753886 112190182 168285273 190235526 336570546 729236183 1458472366 2187708549 4375417098