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5346292608 = 273219923321
BaseRepresentation
bin1001111101010100…
…11111001110000000
3111210120222210201100
410332222133032000
541422122330413
62242301334400
7246325510626
oct47652371600
914716883640
105346292608
1122a392a848
121052567400
13672817467
1438a085516
1521455ba73
hex13ea9f380

5346292608 has 96 divisors (see below), whose sum is σ = 15462486000. Its totient is φ = 1773066240.

The previous prime is 5346292603. The next prime is 5346292613. The reversal of 5346292608 is 8062926435.

5346292608 is a `hidden beast` number, since 5 + 34 + 6 + 2 + 9 + 2 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (5346292603) and next prime (5346292613).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346292603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217588 + ... + 240908.

Almost surely, 25346292608 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 5346292608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7731243000).

5346292608 is an abundant number, since it is smaller than the sum of its proper divisors (10116193392).

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

5346292608 is a wasteful number, since it uses less digits than its factorization.

5346292608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23540 (or 23525 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5346292608 is about 73118.3465896214. The cubic root of 5346292608 is about 1748.5749059816.

It can be divided in two parts, 53462 and 92608, that added together give a triangular number (146070 = T540).

The spelling of 5346292608 in words is "five billion, three hundred forty-six million, two hundred ninety-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 288 384 398 576 597 796 1152 1194 1592 1791 2388 3184 3582 4776 6368 7164 9552 12736 14328 19104 23321 25472 28656 38208 46642 57312 69963 76416 93284 114624 139926 186568 209889 229248 279852 373136 419778 559704 746272 839556 1119408 1492544 1679112 2238816 2985088 3358224 4477632 4640879 6716448 8955264 9281758 13432896 13922637 18563516 26865792 27845274 37127032 41767911 55690548 74254064 83535822 111381096 148508128 167071644 222762192 297016256 334143288 445524384 594032512 668286576 891048768 1336573152 1782097536 2673146304 5346292608