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5406897552 = 243728327697
BaseRepresentation
bin1010000100100011…
…01011010110010000
3111221211000212001220
411002101223112100
542033131210202
62252304325040
7250662604500
oct50221532620
914854025056
105406897552
112325064181
12106a913780
13682246884
1439413da00
15219a2dabc
hex14246b590

5406897552 has 120 divisors (see below), whose sum is σ = 16444634976. Its totient is φ = 1526160384.

The previous prime is 5406897491. The next prime is 5406897557. The reversal of 5406897552 is 2557986045.

It is a super-2 number, since 2×54068975522 = 58469082275647185408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5406897495 and 5406897504.

It is not an unprimeable number, because it can be changed into a prime (5406897557) 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 23 ways as a sum of consecutive naturals, for example, 181368 + ... + 209064.

Almost surely, 25406897552 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 5406897552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8222317488).

5406897552 is an abundant number, since it is smaller than the sum of its proper divisors (11037737424).

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

5406897552 is a wasteful number, since it uses less digits than its factorization.

5406897552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27805 (or 27792 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The square root of 5406897552 is about 73531.6092031175. The cubic root of 5406897552 is about 1755.1573089729.

The spelling of 5406897552 in words is "five billion, four hundred six million, eight hundred ninety-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 83 84 98 112 147 166 168 196 249 294 332 336 392 498 581 588 664 784 996 1162 1176 1328 1743 1992 2324 2352 3486 3984 4067 4648 6972 8134 9296 12201 13944 16268 24402 27697 27888 32536 48804 55394 65072 83091 97608 110788 166182 193879 195216 221576 332364 387758 443152 581637 664728 775516 1163274 1329456 1357153 1551032 2298851 2326548 2714306 3102064 4071459 4597702 4653096 5428612 6896553 8142918 9195404 9306192 10857224 13793106 16091957 16285836 18390808 21714448 27586212 32183914 32571672 36781616 48275871 55172424 64367828 65143344 96551742 110344848 112643699 128735656 193103484 225287398 257471312 337931097 386206968 450574796 675862194 772413936 901149592 1351724388 1802299184 2703448776 5406897552