Search a number
-
+
3973425408 = 2833574859
BaseRepresentation
bin1110110011010101…
…1010100100000000
3101020220200220222000
43230311122210000
531114144103113
61454140144000
7200315362431
oct35465324400
911226626860
103973425408
111759993357
1292a838000
134b42788c4
142999d7488
15183c76373
hexecd5a900

3973425408 has 72 divisors (see below), whose sum is σ = 11750138400. Its totient is φ = 1324472832.

The previous prime is 3973425389. The next prime is 3973425431. The reversal of 3973425408 is 8045243793.

3973425408 is a `hidden beast` number, since 39 + 73 + 4 + 2 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280518 + ... + 294341.

Almost surely, 23973425408 is an apocalyptic number.

It is an amenable number.

3973425408 is an abundant number, since it is smaller than the sum of its proper divisors (7776712992).

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

3973425408 is an equidigital number, since it uses as much as digits as its factorization.

3973425408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574884 (or 574864 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3973425408 is about 63035.1125008911. The cubic root of 3973425408 is about 1583.8778601874.

The spelling of 3973425408 in words is "three billion, nine hundred seventy-three million, four hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 574859 1149718 1724577 2299436 3449154 4598872 5173731 6898308 9197744 10347462 13796616 15521193 18395488 20694924 27593232 31042386 36790976 41389848 55186464 62084772 73581952 82779696 110372928 124169544 147163904 165559392 220745856 248339088 331118784 441491712 496678176 662237568 993356352 1324475136 1986712704 3973425408