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4493442560 = 29531411381
BaseRepresentation
bin1000010111101010…
…00111111000000000
3102121011012112101112
410023311013320000
533200310130220
62021514022452
7216231426425
oct41365077000
912534175345
104493442560
1119a64819a2
12a54a17a28
13567c1bb69
14308abdd4c
151b47455c5
hex10bd47e00

4493442560 has 160 divisors (see below), whose sum is σ = 11400770304. Its totient is φ = 1695744000.

The previous prime is 4493442539. The next prime is 4493442581. The reversal of 4493442560 is 652443944.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4493442539) and next prime (4493442581).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3253070 + ... + 3254450.

Almost surely, 24493442560 is an apocalyptic number.

4493442560 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 4493442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700385152).

4493442560 is an abundant number, since it is smaller than the sum of its proper divisors (6907327744).

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

4493442560 is a wasteful number, since it uses less digits than its factorization.

4493442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The square root of 4493442560 is about 67033.1452342794. The cubic root of 4493442560 is about 1650.1613016475.

The spelling of 4493442560 in words is "four billion, four hundred ninety-three million, four hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 64 80 82 124 128 155 160 164 205 248 256 310 320 328 410 496 512 620 640 656 820 992 1240 1271 1280 1312 1381 1640 1984 2480 2542 2560 2624 2762 3280 3968 4960 5084 5248 5524 6355 6560 6905 7936 9920 10168 10496 11048 12710 13120 13810 15872 19840 20336 20992 22096 25420 26240 27620 39680 40672 42811 44192 50840 52480 55240 56621 79360 81344 85622 88384 101680 104960 110480 113242 162688 171244 176768 203360 214055 220960 226484 283105 325376 342488 353536 406720 428110 441920 452968 566210 650752 684976 707072 813440 856220 883840 905936 1132420 1369952 1626880 1712440 1755251 1767680 1811872 2264840 2739904 3253760 3424880 3510502 3535360 3623744 4529680 5479808 6849760 7021004 7247488 8776255 9059360 10959616 13699520 14042008 14494976 17552510 18118720 21919232 27399040 28084016 28989952 35105020 36237440 54798080 56168032 70210040 72474880 109596160 112336064 140420080 144949760 224672128 280840160 449344256 561680320 898688512 1123360640 2246721280 4493442560