Search a number
-
+
56427435040 = 2553130737057
BaseRepresentation
bin110100100011010101…
…100101010000100000
312101122112011200221111
4310203111211100200
51411030410410130
641531123433104
74035216166264
oct644325452040
9171575150844
1056427435040
1121a268a8139
12ab29525794
135423564722
142a342060a4
151703cb002a
hexd23565420

56427435040 has 96 divisors (see below), whose sum is σ = 138062098944. Its totient is φ = 21771141120.

The previous prime is 56427435017. The next prime is 56427435047. The reversal of 56427435040 is 4053472465.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 56427434984 and 56427435002.

It is not an unprimeable number, because it can be changed into a prime (56427435047) 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, 1504192 + ... + 1541248.

It is an arithmetic number, because the mean of its divisors is an integer number (1438146864).

Almost surely, 256427435040 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 56427435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69031049472).

56427435040 is an abundant number, since it is smaller than the sum of its proper divisors (81634663904).

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

56427435040 is a wasteful number, since it uses less digits than its factorization.

56427435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37410 (or 37402 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 40.

The spelling of 56427435040 in words is "fifty-six billion, four hundred twenty-seven million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 307 310 496 614 620 992 1228 1240 1535 2456 2480 3070 4912 4960 6140 9517 9824 12280 19034 24560 37057 38068 47585 49120 74114 76136 95170 148228 152272 185285 190340 296456 304544 370570 380680 592912 741140 761360 1148767 1185824 1482280 1522720 2297534 2964560 4595068 5743835 5929120 9190136 11376499 11487670 18380272 22752998 22975340 36760544 45505996 45950680 56882495 91011992 91901360 113764990 182023984 183802720 227529980 352671469 364047968 455059960 705342938 910119920 1410685876 1763357345 1820239840 2821371752 3526714690 5642743504 7053429380 11285487008 14106858760 28213717520 56427435040