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48426337424 = 2461971493433
BaseRepresentation
bin101101000110011011…
…110100010010010000
311121222220200211101202
4231012123310102100
51243134120244144
634125144250332
73333023035133
oct550633642220
9147886624352
1048426337424
11195a0450073
129475a709a8
134749a28b3a
1424b573421a
1513d664964e
hexb466f4490

48426337424 has 80 divisors (see below), whose sum is σ = 97022175600. Its totient is φ = 23405690880.

The previous prime is 48426337423. The next prime is 48426337507. The reversal of 48426337424 is 42473362484.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16891681024 + 31534656400 = 129968^2 + 177580^2 .

It is a super-2 number, since 2×484263374242 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48426337423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14104412 + ... + 14107844.

It is an arithmetic number, because the mean of its divisors is an integer number (1212777195).

Almost surely, 248426337424 is an apocalyptic number.

It is an amenable number.

48426337424 is an abundant number, since it is smaller than the sum of its proper divisors (48595838176).

48426337424 is a wasteful number, since it uses less digits than its factorization.

48426337424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3742 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 47.

It can be divided in two parts, 484 and 26337424, that multiplied together give a square (12747313216 = 1129042).

The spelling of 48426337424 in words is "forty-eight billion, four hundred twenty-six million, three hundred thirty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 61 97 122 149 194 244 298 388 488 596 776 976 1192 1552 2384 3433 5917 6866 9089 11834 13732 14453 18178 23668 27464 28906 36356 47336 54928 57812 72712 94672 115624 145424 209413 231248 333001 418826 511517 666002 837652 881633 1023034 1332004 1675304 1763266 2046068 2664008 3350608 3526532 4092136 5328016 7053064 8184272 14106128 20313061 31202537 40626122 49617149 62405074 81252244 99234298 124810148 162504488 198468596 249620296 325008976 396937192 499240592 793874384 3026646089 6053292178 12106584356 24213168712 48426337424