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4197390336 = 21132239901
BaseRepresentation
bin1111101000101111…
…0001100000000000
3101211112010112002100
43322023301200000
532044012442321
61532300350400
7206005141416
oct37213614000
911745115070
104197390336
111864354537
12991845400
1351b7a3c29
142bb6572b6
15198766326
hexfa2f1800

4197390336 has 144 divisors (see below), whose sum is σ = 12651191280. Its totient is φ = 1338163200.

The previous prime is 4197390299. The next prime is 4197390391. The reversal of 4197390336 is 6330937914.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4197390291 and 4197390300.

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 11 ways as a sum of consecutive naturals, for example, 418986 + ... + 428886.

It is an arithmetic number, because the mean of its divisors is an integer number (87855495).

Almost surely, 24197390336 is an apocalyptic number.

4197390336 is a gapful number since it is divisible by the number (46) 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 4197390336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6325595640).

4197390336 is an abundant number, since it is smaller than the sum of its proper divisors (8453800944).

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

4197390336 is a wasteful number, since it uses less digits than its factorization.

4197390336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9952 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 4197390336 is about 64787.2698606756. The cubic root of 4197390336 is about 1613.0944095944.

The spelling of 4197390336 in words is "four billion, one hundred ninety-seven million, three hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 2048 2208 2304 2944 3072 3312 4416 4608 5888 6144 6624 8832 9216 9901 11776 13248 17664 18432 19802 23552 26496 29703 35328 39604 47104 52992 59406 70656 79208 89109 105984 118812 141312 158416 178218 211968 227723 237624 316832 356436 423936 455446 475248 633664 683169 712872 910892 950496 1267328 1366338 1425744 1821784 1900992 2049507 2534656 2732676 2851488 3643568 3801984 4099014 5069312 5465352 5702976 7287136 7603968 8198028 10138624 10930704 11405952 14574272 15207936 16396056 20277248 21861408 22811904 29148544 30415872 32792112 43722816 45623808 58297088 60831744 65584224 87445632 91247616 116594176 131168448 174891264 182495232 233188352 262336896 349782528 466376704 524673792 699565056 1049347584 1399130112 2098695168 4197390336