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5345949456 = 24366772
BaseRepresentation
bin1001111101010010…
…01011011100010000
3111210120100101000000
410332221023130100
541422030340311
62242250130000
7246322551321
oct47651133420
914716311000
105345949456
1122a3715a51
121052420900
13672727203
14389dd6448
152144e0056
hex13ea4b710

5345949456 has 105 divisors (see below), whose sum is σ = 15552534181. Its totient is φ = 1779350976.

The previous prime is 5345949449. The next prime is 5345949481. The reversal of 5345949456 is 6549495435.

The square root of 5345949456 is 73116.

It is a perfect power (a square), and thus also a powerful number.

5345949456 is a `hidden beast` number, since 5 + 3 + 4 + 594 + 9 + 45 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5314410000 + 31539456 = 72900^2 + 5616^2 .

It is a super-2 number, since 2×53459494562 = 57158351172213391872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7896190 + ... + 7896866.

Almost surely, 25345949456 is an apocalyptic number.

5345949456 is the 73116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5345949456

5345949456 is an abundant number, since it is smaller than the sum of its proper divisors (10206584725).

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

5345949456 is an frugal number, since it uses more digits than its factorization.

5345949456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 682 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The cubic root of 5345949456 is about 1748.5374943983.

The spelling of 5345949456 in words is "five billion, three hundred forty-five million, nine hundred forty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 677 729 972 1296 1354 1458 1944 2031 2708 2916 3888 4062 5416 5832 6093 8124 10832 11664 12186 16248 18279 24372 32496 36558 48744 54837 73116 97488 109674 146232 164511 219348 292464 329022 438696 458329 493533 658044 877392 916658 987066 1316088 1374987 1833316 1974132 2632176 2749974 3666632 3948264 4124961 5499948 7333264 7896528 8249922 10999896 12374883 16499844 21999792 24749766 32999688 37124649 49499532 65999376 74249298 98999064 111373947 148498596 197998128 222747894 296997192 334121841 445495788 593994384 668243682 890991576 1336487364 1781983152 2672974728 5345949456