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4542975640 = 235723827853
BaseRepresentation
bin1000011101100100…
…00100111010011000
3102201121102002000001
410032302010322120
533301000210030
62030443422344
7220402440640
oct41662047230
912647362001
104542975640
111a21433925
12a695249b4
13575272888
143114d5520
151b8c7bcca
hex10ec84e98

4542975640 has 128 divisors (see below), whose sum is σ = 12218895360. Its totient is φ = 1486324224.

The previous prime is 4542975629. The next prime is 4542975641. The reversal of 4542975640 is 465792454.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4542975641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5325454 + ... + 5326306.

It is an arithmetic number, because the mean of its divisors is an integer number (95460120).

Almost surely, 24542975640 is an apocalyptic number.

4542975640 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 4542975640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109447680).

4542975640 is an abundant number, since it is smaller than the sum of its proper divisors (7675919720).

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

4542975640 is a wasteful number, since it uses less digits than its factorization.

4542975640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The square root of 4542975640 is about 67401.5996842805. The cubic root of 4542975640 is about 1656.2026277373.

The spelling of 4542975640 in words is "four billion, five hundred forty-two million, nine hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 827 853 920 1288 1610 1654 1706 3220 3308 3412 4135 4265 5789 5971 6440 6616 6824 8270 8530 11578 11942 16540 17060 19021 19619 23156 23884 28945 29855 33080 34120 38042 39238 46312 47768 57890 59710 76084 78476 95105 98095 115780 119420 133147 137333 152168 156952 190210 196190 231560 238840 266294 274666 380420 392380 532588 549332 665735 686665 705431 760840 784760 1065176 1098664 1331470 1373330 1410862 2662940 2746660 2821724 3527155 4938017 5325880 5493320 5643448 7054310 9876034 14108620 16224913 19752068 24690085 28217240 32449826 39504136 49380170 64899652 81124565 98760340 113574391 129799304 162249130 197520680 227148782 324498260 454297564 567871955 648996520 908595128 1135743910 2271487820 4542975640