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4490016920 = 2351921392237
BaseRepresentation
bin1000010111010000…
…00011100010011000
3102120220202111021222
410023220003202120
533143421020140
62021312351212
7216160341224
oct41350034230
912526674258
104490016920
1119a4552194
12a53845508
135672bc85c
1430846b784
151b42ba5b5
hex10ba03898

4490016920 has 96 divisors (see below), whose sum is σ = 10743742800. Its totient is φ = 1688484096.

The previous prime is 4490016893. The next prime is 4490016929. The reversal of 4490016920 is 296100944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4490016929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2006042 + ... + 2008278.

Almost surely, 24490016920 is an apocalyptic number.

4490016920 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 4490016920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371871400).

4490016920 is an abundant number, since it is smaller than the sum of its proper divisors (6253725880).

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

4490016920 is a wasteful number, since it uses less digits than its factorization.

4490016920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 4490016920 is about 67007.5885254797. The cubic root of 4490016920 is about 1649.7418537070.

The spelling of 4490016920 in words is "four billion, four hundred ninety million, sixteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 139 152 190 278 361 380 556 695 722 760 1112 1390 1444 1805 2237 2641 2780 2888 3610 4474 5282 5560 7220 8948 10564 11185 13205 14440 17896 21128 22370 26410 42503 44740 50179 52820 85006 89480 100358 105640 170012 200716 212515 250895 310943 340024 401432 425030 501790 621886 807557 850060 1003580 1243772 1554715 1615114 1700120 2007160 2487544 3109430 3230228 4037785 5907917 6218860 6460456 8075570 11815834 12437720 16151140 23631668 29539585 32302280 47263336 59079170 112250423 118158340 224500846 236316680 449001692 561252115 898003384 1122504230 2245008460 4490016920