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5054608440 = 233357668599
BaseRepresentation
bin1001011010100011…
…10011010000111000
3111001021010201021000
410231101303100320
540322434432230
62153321445000
7236154314520
oct45521632070
914037121230
105054608440
112164216152
12b90940760
1362726b78b
1435d438680
151e8b41b60
hex12d473438

5054608440 has 128 divisors (see below), whose sum is σ = 19255680000. Its totient is φ = 1155337344.

The previous prime is 5054608423. The next prime is 5054608441. The reversal of 5054608440 is 448064505.

5054608440 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 608 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5054608395 and 5054608404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5054608441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326740 + ... + 341859.

It is an arithmetic number, because the mean of its divisors is an integer number (150435000).

Almost surely, 25054608440 is an apocalyptic number.

It is an amenable number.

5054608440 is an abundant number, since it is smaller than the sum of its proper divisors (14201071560).

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

5054608440 is a wasteful number, since it uses less digits than its factorization.

5054608440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668626 (or 668616 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5054608440 is about 71095.7694943940. The cubic root of 5054608440 is about 1716.1786942867.

The spelling of 5054608440 in words is "five billion, fifty-four million, six hundred eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 668599 1337198 2005797 2674396 3342995 4011594 4680193 5348792 6017391 6685990 8023188 9360386 10028985 12034782 13371980 14040579 16046376 18052173 18720772 20057970 23400965 24069564 26743960 28081158 30086955 36104346 37441544 40115940 42121737 46801930 48139128 56162316 60173910 70202895 72208692 80231880 84243474 90260865 93603860 112324632 120347820 126365211 140405790 144417384 168486948 180521730 187207720 210608685 240695640 252730422 280811580 336973896 361043460 421217370 505460844 561623160 631826055 722086920 842434740 1010921688 1263652110 1684869480 2527304220 5054608440