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554612040 = 233257731993
BaseRepresentation
bin100001000011101…
…011010101001000
31102122121012200200
4201003223111020
52113440041130
6131011132200
716513060503
oct4103532510
91378535620
10554612040
11265078264
121358a4060
138ab96808
145393013a
1533a54760
hex210eb548

554612040 has 96 divisors (see below), whose sum is σ = 1805726520. Its totient is φ = 147631104.

The previous prime is 554612039. The next prime is 554612057. The reversal of 554612040 is 40216455.

554612040 is a `hidden beast` number, since 5 + 5 + 4 + 612 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 373494276 + 181117764 = 19326^2 + 13458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 554611995 and 554612013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277284 + ... + 279276.

Almost surely, 2554612040 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 554612040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902863260).

554612040 is an abundant number, since it is smaller than the sum of its proper divisors (1251114480).

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

554612040 is a wasteful number, since it uses less digits than its factorization.

554612040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 554612040 is about 23550.2025468997. The cubic root of 554612040 is about 821.6050458465.

Adding to 554612040 its reverse (40216455), we get a palindrome (594828495).

The spelling of 554612040 in words is "five hundred fifty-four million, six hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 773 1546 1993 2319 3092 3865 3986 4638 5979 6184 6957 7730 7972 9276 9965 11595 11958 13914 15460 15944 17937 18552 19930 23190 23916 27828 29895 30920 34785 35874 39860 46380 47832 55656 59790 69570 71748 79720 89685 92760 119580 139140 143496 179370 239160 278280 358740 717480 1540589 3081178 4621767 6162356 7702945 9243534 12324712 13865301 15405890 18487068 23108835 27730602 30811780 36974136 46217670 55461204 61623560 69326505 92435340 110922408 138653010 184870680 277306020 554612040