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4492104960 = 28357167117
BaseRepresentation
bin1000010111100000…
…00001010100000000
3102121001200120112210
410023300001110000
533144434324320
62021425222120
7216214155630
oct41360012400
912531616483
104492104960
1119a5748a42
12a54491940
13567871095
143088526c0
151b457e0e0
hex10bc01500

4492104960 has 144 divisors (see below), whose sum is σ = 16396281216. Its totient is φ = 1026760704.

The previous prime is 4492104913. The next prime is 4492104977. The reversal of 4492104960 is 694012944.

It is a super-4 number, since 4×44921049604 (a number of 40 digits) contains 4444 as substring.

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, 56679 + ... + 110438.

It is an arithmetic number, because the mean of its divisors is an integer number (113863064).

Almost surely, 24492104960 is an apocalyptic number.

4492104960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4492104960 is an abundant number, since it is smaller than the sum of its proper divisors (11904176256).

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

4492104960 is a wasteful number, since it uses less digits than its factorization.

4492104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167148 (or 167134 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 4492104960 is about 67023.1673378691. The cubic root of 4492104960 is about 1649.9975463692.

The spelling of 4492104960 in words is "four billion, four hundred ninety-two million, one hundred four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 167117 334234 501351 668468 835585 1002702 1169819 1336936 1671170 2005404 2339638 2506755 2673872 3342340 3509457 4010808 4679276 5013510 5347744 5849095 6684680 7018914 8021616 9358552 10027020 10695488 11698190 13369360 14037828 16043232 17547285 18717104 20054040 21390976 23396380 26738720 28075656 32086464 35094570 37434208 40108080 42781952 46792760 53477440 56151312 64172928 70189140 74868416 80216160 93585520 106954880 112302624 128345856 140378280 149736832 160432320 187171040 213909760 224605248 280756560 299473664 320864640 374342080 449210496 561513120 641729280 748684160 898420992 1123026240 1497368320 2246052480 4492104960