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4732378640 = 2451119383739
BaseRepresentation
bin1000110100001001…
…00101111000010000
3110012210210202001222
410122010211320100
534142442104030
62101331144212
7225162361163
oct43204457020
913183722058
104732378640
112009339130
12b00a45068
135a5589662
1432c719ada
151ca6e13e5
hex11a125e10

4732378640 has 160 divisors (see below), whose sum is σ = 12684902400. Its totient is φ = 1623836160.

The previous prime is 4732378589. The next prime is 4732378649. The reversal of 4732378640 is 468732374.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4732378591 and 4732378600.

It is not an unprimeable number, because it can be changed into a prime (4732378649) 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, 6403391 + ... + 6404129.

It is an arithmetic number, because the mean of its divisors is an integer number (79280640).

Almost surely, 24732378640 is an apocalyptic number.

4732378640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4732378640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342451200).

4732378640 is an abundant number, since it is smaller than the sum of its proper divisors (7952523760).

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

4732378640 is a wasteful number, since it uses less digits than its factorization.

4732378640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 44.

The square root of 4732378640 is about 68792.2861954740. The cubic root of 4732378640 is about 1678.9064406312.

The spelling of 4732378640 in words is "four billion, seven hundred thirty-two million, three hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 383 418 440 739 760 766 836 880 1045 1478 1520 1532 1672 1915 2090 2956 3064 3344 3695 3830 4180 4213 5912 6128 7277 7390 7660 8129 8360 8426 11824 14041 14554 14780 15320 16258 16720 16852 21065 28082 29108 29560 30640 32516 33704 36385 40645 42130 56164 58216 59120 65032 67408 70205 72770 80047 81290 84260 112328 116432 130064 140410 145540 154451 160094 162580 168520 224656 280820 283037 291080 308902 320188 325160 337040 400235 561640 566074 582160 617804 640376 650320 772255 800470 1123280 1132148 1235608 1280752 1415185 1544510 1600940 2264296 2471216 2830370 3089020 3113407 3201880 4528592 5377703 5660740 6178040 6226814 6403760 10755406 11321480 12356080 12453628 15567035 21510812 22642960 24907256 26888515 31134070 43021624 49814512 53777030 59154733 62268140 86043248 107554060 118309466 124536280 215108120 236618932 249072560 295773665 430216240 473237864 591547330 946475728 1183094660 2366189320 4732378640