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3963803424 = 25376196697
BaseRepresentation
bin1110110001000010…
…1101011100100000
3101020020121002002020
43230100231130200
531104213202144
61453154021440
7200140526130
oct35420553440
911206532066
103963803424
1117545111a9
12927577880
134b228a119
14298610ac0
15182ec5419
hexec42d720

3963803424 has 96 divisors (see below), whose sum is σ = 12086476416. Its totient is φ = 1113937920.

The previous prime is 3963803423. The next prime is 3963803443. The reversal of 3963803424 is 4243083693.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×39638034242 = 31423475168228247552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3963803423) 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, 7357 + ... + 89340.

It is an arithmetic number, because the mean of its divisors is an integer number (125900796).

Almost surely, 23963803424 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 3963803424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043238208).

3963803424 is an abundant number, since it is smaller than the sum of its proper divisors (8122672992).

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

3963803424 is a wasteful number, since it uses less digits than its factorization.

3963803424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96778 (or 96770 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 3963803424 is about 62958.7438248255. The cubic root of 3963803424 is about 1582.5983289580.

The spelling of 3963803424 in words is "three billion, nine hundred sixty-three million, eight hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3416 5124 5856 6832 10248 13664 20496 40992 96697 193394 290091 386788 580182 676879 773576 1160364 1353758 1547152 2030637 2320728 2707516 3094304 4061274 4641456 5415032 5898517 8122548 9282912 10830064 11797034 16245096 17695551 21660128 23594068 32490192 35391102 41289619 47188136 64980384 70782204 82579238 94376272 123868857 141564408 165158476 188752544 247737714 283128816 330316952 495475428 566257632 660633904 990950856 1321267808 1981901712 3963803424