Search a number
-
+
7542424064 = 2975359673
BaseRepresentation
bin1110000011001000…
…00100001000000000
3201110122101211201102
413001210010020000
5110421330032224
63244232153532
7354623355350
oct70144041000
921418354642
107542424064
11322055791a
121565b388a8
139327c3026
145179d6b60
152e22624ae
hex1c1904200

7542424064 has 160 divisors (see below), whose sum is σ = 17871891840. Its totient is φ = 3113091072.

The previous prime is 7542424061. The next prime is 7542424069. The reversal of 7542424064 is 4604242457.

It is a super-2 number, since 2×75424240642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7542424061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11206832 + ... + 11207504.

It is an arithmetic number, because the mean of its divisors is an integer number (111699324).

Almost surely, 27542424064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7542424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8935945920).

7542424064 is an abundant number, since it is smaller than the sum of its proper divisors (10329467776).

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

7542424064 is an equidigital number, since it uses as much as digits as its factorization.

7542424064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 38.

The square root of 7542424064 is about 86847.1304304293. The cubic root of 7542424064 is about 1961.1176521608.

The spelling of 7542424064 in words is "seven billion, five hundred forty-two million, four hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 59 64 106 112 118 128 212 224 236 256 371 413 424 448 472 512 673 742 826 848 896 944 1346 1484 1652 1696 1792 1888 2692 2968 3127 3304 3392 3584 3776 4711 5384 5936 6254 6608 6784 7552 9422 10768 11872 12508 13216 13568 15104 18844 21536 21889 23744 25016 26432 27136 30208 35669 37688 39707 43072 43778 47488 50032 52864 71338 75376 79414 86144 87556 94976 100064 105728 142676 150752 158828 172288 175112 189952 200128 211456 249683 277949 285352 301504 317656 344576 350224 400256 499366 555898 570704 603008 635312 700448 800512 998732 1111796 1141408 1206016 1270624 1400896 1601024 1997464 2104471 2223592 2282816 2412032 2541248 2801792 3994928 4208942 4447184 4565632 5082496 5603584 7989856 8417884 8894368 9131264 10164992 11207168 14731297 15979712 16835768 17788736 18262528 20329984 29462594 31959424 33671536 35577472 58925188 63918848 67343072 71154944 117850376 127837696 134686144 142309888 235700752 269372288 471401504 538744576 942803008 1077489152 1885606016 3771212032 7542424064