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4194245520 = 2432531118731
BaseRepresentation
bin1111100111111111…
…0001101110010000
3101211022012202012200
43321333301232100
532042211324040
61532105123200
7205636333023
oct37177615620
911738182180
104194245520
1118625a6813
12990789500
1351ac426aa
142bb0791ba
15198344630
hexf9ff1b90

4194245520 has 120 divisors (see below), whose sum is σ = 14131720512. Its totient is φ = 1114809600.

The previous prime is 4194245509. The next prime is 4194245527. The reversal of 4194245520 is 255424914.

It is a happy number.

4194245520 is a `hidden beast` number, since 4 + 1 + 94 + 2 + 45 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4194245527) 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, 214555 + ... + 233285.

Almost surely, 24194245520 is an apocalyptic number.

4194245520 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 4194245520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065860256).

4194245520 is an abundant number, since it is smaller than the sum of its proper divisors (9937474992).

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

4194245520 is a wasteful number, since it uses less digits than its factorization.

4194245520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19061 (or 19052 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4194245520 is about 64762.9949894228. The cubic root of 4194245520 is about 1612.6914486948.

The spelling of 4194245520 in words is "four billion, one hundred ninety-four million, two hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 311 360 622 720 933 1244 1555 1866 2488 2799 3110 3732 4665 4976 5598 6220 7464 9330 11196 12440 13995 14928 18660 18731 22392 24880 27990 37320 37462 44784 55980 56193 74640 74924 93655 111960 112386 149848 168579 187310 223920 224772 280965 299696 337158 374620 449544 561930 674316 749240 842895 899088 1123860 1348632 1498480 1685790 2247720 2697264 3371580 4495440 5825341 6743160 11650682 13486320 17476023 23301364 29126705 34952046 46602728 52428069 58253410 69904092 87380115 93205456 104856138 116506820 139808184 174760230 209712276 233013640 262140345 279616368 349520460 419424552 466027280 524280690 699040920 838849104 1048561380 1398081840 2097122760 4194245520