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5219313408 = 283627967
BaseRepresentation
bin1001101110001100…
…00110011100000000
3111110202001121000000
410313012012130000
541142121012113
62221524000000
7243224301111
oct46706063400
914422047000
105219313408
112239191461
121017b30000
1365241893a
14377270208
15208328373
hex137186700

5219313408 has 126 divisors (see below), whose sum is σ = 15620771264. Its totient is φ = 1739708928.

The previous prime is 5219313373. The next prime is 5219313409. The reversal of 5219313408 is 8043139125.

5219313408 is a `hidden beast` number, since 5 + 219 + 31 + 3 + 408 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5219313409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 172641 + ... + 200607.

Almost surely, 25219313408 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 5219313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810385632).

5219313408 is an abundant number, since it is smaller than the sum of its proper divisors (10401457856).

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

5219313408 is an frugal number, since it uses more digits than its factorization.

5219313408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28001 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5219313408 is about 72244.8157863248. The cubic root of 5219313408 is about 1734.6204362550.

The spelling of 5219313408 in words is "five billion, two hundred nineteen million, three hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2592 2916 3456 3888 5184 5832 6912 7776 10368 11664 15552 20736 23328 27967 31104 46656 55934 62208 83901 93312 111868 167802 186624 223736 251703 335604 447472 503406 671208 755109 894944 1006812 1342416 1510218 1789888 2013624 2265327 2684832 3020436 3579776 4027248 4530654 5369664 6040872 6795981 7159552 8054496 9061308 10739328 12081744 13591962 16108992 18122616 20387943 21478656 24163488 27183924 32217984 36245232 40775886 48326976 54367848 64435968 72490464 81551772 96653952 108735696 144980928 163103544 193307904 217471392 289961856 326207088 434942784 579923712 652414176 869885568 1304828352 1739771136 2609656704 5219313408