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4063242960 = 243357268733
BaseRepresentation
bin1111001000110000…
…0010101011010000
3101111011201010111000
43302030002223100
531310142233320
61511105222000
7202455665250
oct36214025320
911434633430
104063242960
1117a565a637
12954931900
134c9a6579a
142a78d7960
1518bab8c90
hexf2302ad0

4063242960 has 160 divisors (see below), whose sum is σ = 15995047680. Its totient is φ = 928737792.

The previous prime is 4063242907. The next prime is 4063242971. The reversal of 4063242960 is 692423604.

4063242960 is a `hidden beast` number, since 40 + 6 + 324 + 296 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119247 + ... + 149486.

It is an arithmetic number, because the mean of its divisors is an integer number (99969048).

Almost surely, 24063242960 is an apocalyptic number.

4063242960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4063242960 is an abundant number, since it is smaller than the sum of its proper divisors (11931804720).

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

4063242960 is a wasteful number, since it uses less digits than its factorization.

4063242960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268762 (or 268750 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4063242960 is about 63743.5719112131. The cubic root of 4063242960 is about 1595.7233394606.

The spelling of 4063242960 in words is "four billion, sixty-three million, two hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 268733 537466 806199 1074932 1343665 1612398 1881131 2149864 2418597 2687330 3224796 3762262 4030995 4299728 4837194 5374660 5643393 6449592 7255791 7524524 8061990 9405655 9674388 10749320 11286786 12092985 12899184 14511582 15049048 16123980 16930179 18811310 19348776 21498640 22573572 24185970 28216965 29023164 30098096 32247960 33860358 36278955 37622620 38697552 45147144 48371940 50790537 56433930 58046328 64495920 67720716 72557910 75245240 84650895 90294288 96743880 101581074 112867860 116092656 135441432 145115820 150490480 169301790 193487760 203162148 225735720 253952685 270882864 290231640 338603580 406324296 451471440 507905370 580463280 677207160 812648592 1015810740 1354414320 2031621480 4063242960