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2417053416 = 233379073001
BaseRepresentation
bin1001000000010001…
…0100111011101000
320020110010000221220
42100010110323220
514422231202131
61035501502040
7113616420651
oct22004247350
96213100856
102417053416
111030400008
12575571920
132c69a9b2b
1418d01c528
15e22e3e96
hex90114ee8

2417053416 has 64 divisors (see below), whose sum is σ = 6214860480. Its totient is φ = 782784000.

The previous prime is 2417053409. The next prime is 2417053423. The reversal of 2417053416 is 6143507142.

It is an interprime number because it is at equal distance from previous prime (2417053409) and next prime (2417053423).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803916 + ... + 806916.

It is an arithmetic number, because the mean of its divisors is an integer number (97107195).

Almost surely, 22417053416 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 2417053416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107430240).

2417053416 is an abundant number, since it is smaller than the sum of its proper divisors (3797807064).

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

2417053416 is a wasteful number, since it uses less digits than its factorization.

2417053416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2417053416 is about 49163.5374642631. The cubic root of 2417053416 is about 1342.0295627752.

The spelling of 2417053416 in words is "two billion, four hundred seventeen million, fifty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 907 1814 2721 3001 3628 5442 6002 7256 9003 10884 12004 18006 21768 24008 33559 36012 67118 72024 100677 111037 134236 201354 222074 268472 333111 402708 444148 666222 805416 888296 1332444 2664888 2721907 5443814 8165721 10887628 16331442 21775256 32662884 65325768 100710559 201421118 302131677 402842236 604263354 805684472 1208526708 2417053416