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4493685504 = 28371175989
BaseRepresentation
bin1000010111101100…
…00011001100000000
3102121011122212122110
410023312003030000
533200340414004
62021523135320
7216233460630
oct41366031400
912534585573
104493685504
1119a6628480
12a54b14540
13567ca5609
14308b446c0
151b4792589
hex10bd83300

4493685504 has 144 divisors (see below), whose sum is σ = 14911061760. Its totient is φ = 1167175680.

The previous prime is 4493685503. The next prime is 4493685523. The reversal of 4493685504 is 4055863944.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4493685503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21142 + ... + 97130.

It is an arithmetic number, because the mean of its divisors is an integer number (103549040).

Almost surely, 24493685504 is an apocalyptic number.

4493685504 is a gapful number since it is divisible by the number (44) 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 4493685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7455530880).

4493685504 is an abundant number, since it is smaller than the sum of its proper divisors (10417376256).

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

4493685504 is a wasteful number, since it uses less digits than its factorization.

4493685504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76026 (or 76012 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The square root of 4493685504 is about 67034.9573282478. The cubic root of 4493685504 is about 1650.1910405063.

The spelling of 4493685504 in words is "four billion, four hundred ninety-three million, six hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5376 7392 8448 9856 14784 19712 29568 59136 75989 151978 227967 303956 455934 531923 607912 835879 911868 1063846 1215824 1595769 1671758 1823736 2127692 2431648 2507637 3191538 3343516 3647472 4255384 4863296 5015274 5851153 6383076 6687032 7294944 8510768 9726592 10030548 11702306 12766152 13374064 14589888 17021536 17553459 19453184 20061096 23404612 25532304 26748128 29179776 34043072 35106918 40122192 46809224 51064608 53496256 58359552 68086144 70213836 80244384 93618448 102129216 106992512 136172288 140427672 160488768 187236896 204258432 213985024 280855344 320977536 374473792 408516864 561710688 641955072 748947584 1123421376 1497895168 2246842752 4493685504