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4725303440 = 24511133171303
BaseRepresentation
bin1000110011010011…
…00110100010010000
3110012022111021201112
410121221212202100
534134134202230
62100515352452
7225045262604
oct43151464220
913168437645
104725303440
112005346460
12aba5b2728
135a3c80150
1432b7d7504
151c9c94d95
hex119a66890

4725303440 has 160 divisors (see below), whose sum is σ = 12957670656. Its totient is φ = 1579898880.

The previous prime is 4725303421. The next prime is 4725303463. The reversal of 4725303440 is 443035274.

It is a junction number, because it is equal to n+sod(n) for n = 4725303397 and 4725303406.

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, 3625829 + ... + 3627131.

Almost surely, 24725303440 is an apocalyptic number.

4725303440 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 4725303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478835328).

4725303440 is an abundant number, since it is smaller than the sum of its proper divisors (8232367216).

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

4725303440 is a wasteful number, since it uses less digits than its factorization.

4725303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 4725303440 is about 68740.8425901225. The cubic root of 4725303440 is about 1678.0693335143.

The spelling of 4725303440 in words is "four billion, seven hundred twenty-five million, three hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 317 440 520 572 634 715 880 1040 1144 1268 1303 1430 1585 2288 2536 2606 2860 3170 3487 4121 5072 5212 5720 6340 6515 6974 8242 10424 11440 12680 13030 13948 14333 16484 16939 17435 20605 20848 25360 26060 27896 28666 32968 33878 34870 41210 45331 52120 55792 57332 65936 67756 69740 71665 82420 84695 90662 104240 114664 135512 139480 143330 164840 169390 181324 186329 226655 229328 271024 278960 286660 329680 338780 362648 372658 413051 453310 573320 677560 725296 745316 826102 906620 931645 1146640 1355120 1490632 1652204 1813240 1863290 2065255 2981264 3304408 3626480 3726580 4130510 4543561 5369663 6608816 7453160 8261020 9087122 10739326 14906320 16522040 18174244 21478652 22717805 26848315 33044080 36348488 42957304 45435610 53696630 59066293 72696976 85914608 90871220 107393260 118132586 181742440 214786520 236265172 295331465 363484880 429573040 472530344 590662930 945060688 1181325860 2362651720 4725303440