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56009436 = 223731137157
BaseRepresentation
bin1101010110101…
…0001011011100
310220101120111120
43111222023130
5103314300221
65320250540
71250033550
oct325521334
9126346446
1056009436
112968579a
1216910a50
13b7b07a2
14761d860
154db55c6
hex356a2dc

56009436 has 96 divisors (see below), whose sum is σ = 156291072. Its totient is φ = 15275520.

The previous prime is 56009423. The next prime is 56009461. The reversal of 56009436 is 63490065.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 56009397 and 56009406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356670 + ... + 356826.

It is an arithmetic number, because the mean of its divisors is an integer number (1628032).

Almost surely, 256009436 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 56009436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78145536).

56009436 is an abundant number, since it is smaller than the sum of its proper divisors (100281636).

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

56009436 is a wasteful number, since it uses less digits than its factorization.

56009436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 56009436 is about 7483.9452162613. The cubic root of 56009436 is about 382.6077239413.

The spelling of 56009436 in words is "fifty-six million, nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 137 157 186 217 274 314 372 411 434 471 548 628 651 822 868 942 959 1099 1302 1644 1884 1918 2198 2604 2877 3297 3836 4247 4396 4867 5754 6594 8494 9734 11508 12741 13188 14601 16988 19468 21509 25482 29202 29729 34069 43018 50964 58404 59458 64527 68138 86036 89187 102207 118916 129054 136276 150563 178374 204414 258108 301126 356748 408828 451689 602252 666779 903378 1333558 1806756 2000337 2667116 4000674 4667453 8001348 9334906 14002359 18669812 28004718 56009436