Search a number
-
+
4542440520 = 2335296911889
BaseRepresentation
bin1000011101100000…
…00010010001001000
3102201120101212221210
410032300002101020
533300331044040
62030424133120
7220365051552
oct41660022110
912646355853
104542440520
111a210a8882
12a693071a0
13575116137
143113d64d2
151b8bc3480
hex10ec02448

4542440520 has 128 divisors (see below), whose sum is σ = 14125104000. Its totient is φ = 1167237120.

The previous prime is 4542440519. The next prime is 4542440611. The reversal of 4542440520 is 250442454.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2403736 + ... + 2405624.

It is an arithmetic number, because the mean of its divisors is an integer number (110352375).

Almost surely, 24542440520 is an apocalyptic number.

4542440520 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 4542440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062552000).

4542440520 is an abundant number, since it is smaller than the sum of its proper divisors (9582663480).

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

4542440520 is a wasteful number, since it uses less digits than its factorization.

4542440520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 4542440520 is about 67397.6299286555. The cubic root of 4542440520 is about 1656.1375967957.

Adding to 4542440520 its reverse (250442454), we get a palindrome (4792882974).

The spelling of 4542440520 in words is "four billion, five hundred forty-two million, four hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 691 696 870 1160 1382 1740 1889 2073 2764 3455 3480 3778 4146 5528 5667 6910 7556 8292 9445 10365 11334 13820 15112 16584 18890 20039 20730 22668 27640 28335 37780 40078 41460 45336 54781 56670 60117 75560 80156 82920 100195 109562 113340 120234 160312 164343 200390 219124 226680 240468 273905 300585 328686 400780 438248 480936 547810 601170 657372 801560 821715 1095620 1202340 1305299 1314744 1643430 2191240 2404680 2610598 3286860 3915897 5221196 6526495 6573720 7831794 10442392 13052990 15663588 19579485 26105980 31327176 37853671 39158970 52211960 75707342 78317940 113561013 151414684 156635880 189268355 227122026 302829368 378536710 454244052 567805065 757073420 908488104 1135610130 1514146840 2271220260 4542440520