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554248240 = 245713194007
BaseRepresentation
bin100001000010010…
…010100000110000
31102121220201122121
4201002102200300
52113341420430
6130555244024
716510014040
oct4102224060
91377821577
10554248240
112649499a7
12135749614
138aa9a050
1453877720
15339d1a7a
hex21092830

554248240 has 160 divisors (see below), whose sum is σ = 1669893120. Its totient is φ = 166136832.

The previous prime is 554248237. The next prime is 554248243. The reversal of 554248240 is 42842455.

It is an interprime number because it is at equal distance from previous prime (554248237) and next prime (554248243).

It is a super-2 number, since 2×5542482402 = 614382223086195200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 554248196 and 554248205.

It is not an unprimeable number, because it can be changed into a prime (554248243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136317 + ... + 140323.

It is an arithmetic number, because the mean of its divisors is an integer number (10436832).

Almost surely, 2554248240 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 554248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834946560).

554248240 is an abundant number, since it is smaller than the sum of its proper divisors (1115644880).

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

554248240 is a wasteful number, since it uses less digits than its factorization.

554248240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The square root of 554248240 is about 23542.4773547730. The cubic root of 554248240 is about 821.4253615069.

The spelling of 554248240 in words is "five hundred fifty-four million, two hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 104 112 130 133 140 152 182 190 208 247 260 266 280 304 364 380 455 494 520 532 560 665 728 760 910 988 1040 1064 1235 1330 1456 1520 1729 1820 1976 2128 2470 2660 3458 3640 3952 4007 4940 5320 6916 7280 8014 8645 9880 10640 13832 16028 17290 19760 20035 27664 28049 32056 34580 40070 52091 56098 64112 69160 76133 80140 104182 112196 138320 140245 152266 160280 208364 224392 260455 280490 304532 320560 364637 380665 416728 448784 520910 532931 560980 609064 729274 761330 833456 989729 1041820 1065862 1121960 1218128 1458548 1522660 1823185 1979458 2083640 2131724 2243920 2664655 2917096 3045320 3646370 3958916 4167280 4263448 4948645 5329310 5834192 6090640 6928103 7292740 7917832 8526896 9897290 10658620 13856206 14585480 15835664 19794580 21317240 27712412 29170960 34640515 39589160 42634480 55424824 69281030 79178320 110849648 138562060 277124120 554248240