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249220528440 = 233513159756749
BaseRepresentation
bin1110100000011010110…
…0110111100100111000
3212211021121101121011020
43220012230313210320
513040400423402230
6310253524502440
724001626352632
oct3500654674470
9784247347136
10249220528440
119676a544784
124037354aa20
131a669745b10
14c0c30aba52
156739699810
hex3a06b37938

249220528440 has 64 divisors (see below), whose sum is σ = 805174020000. Its totient is φ = 61346591232.

The previous prime is 249220528433. The next prime is 249220528463. The reversal of 249220528440 is 44825022942.

249220528440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2492205284402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 249220528392 and 249220528401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79876815 + ... + 79879934.

Almost surely, 2249220528440 is an apocalyptic number.

249220528440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249220528440 is an abundant number, since it is smaller than the sum of its proper divisors (555953491560).

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

249220528440 is a wasteful number, since it uses less digits than its factorization.

249220528440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159756776 (or 159756772 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 249220528440 in words is "two hundred forty-nine billion, two hundred twenty million, five hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 159756749 319513498 479270247 639026996 798783745 958540494 1278053992 1597567490 1917080988 2076837737 2396351235 3195134980 3834161976 4153675474 4792702470 6230513211 6390269960 8307350948 9585404940 10384188685 12461026422 16614701896 19170809880 20768377370 24922052844 31152566055 41536754740 49844105688 62305132110 83073509480 124610264220 249220528440