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4253662440 = 2332589132761
BaseRepresentation
bin1111110110001001…
…1011110011101000
3101222110000102220100
43331202123303220
532202414144230
61542030425400
7210260351136
oct37542336350
911873012810
104253662440
111893099605
129a8662260
1352a347131
142c4d04756
1519d67e660
hexfd89bce8

4253662440 has 96 divisors (see below), whose sum is σ = 13979838600. Its totient is φ = 1121556480.

The previous prime is 4253662423. The next prime is 4253662451. The reversal of 4253662440 is 442663524.

4253662440 is a `hidden beast` number, since 4 + 25 + 3 + 6 + 624 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2879180964 + 1374481476 = 53658^2 + 37074^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4253662395 and 4253662404.

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 23 ways as a sum of consecutive naturals, for example, 34341 + ... + 98420.

Almost surely, 24253662440 is an apocalyptic number.

4253662440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4253662440 is an abundant number, since it is smaller than the sum of its proper divisors (9726176160).

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

4253662440 is a wasteful number, since it uses less digits than its factorization.

4253662440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132867 (or 132860 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4253662440 is about 65220.1076356058. The cubic root of 4253662440 is about 1620.2710566107.

It can be divided in two parts, 42536 and 62440, that added together give a 4-th power (104976 = 184).

The spelling of 4253662440 in words is "four billion, two hundred fifty-three million, six hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1780 2136 2670 3204 3560 4005 5340 6408 8010 10680 16020 32040 132761 265522 398283 531044 663805 796566 1062088 1194849 1327610 1593132 1991415 2389698 2655220 3186264 3982830 4779396 5310440 5974245 7965660 9558792 11815729 11948490 15931320 23631458 23896980 35447187 47262916 47793960 59078645 70894374 94525832 106341561 118157290 141788748 177235935 212683122 236314580 283577496 354471870 425366244 472629160 531707805 708943740 850732488 1063415610 1417887480 2126831220 4253662440