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542344572 = 223471121739
BaseRepresentation
bin100000010100111…
…000010101111100
31101210111221220000
4200110320111330
52102320011242
6125452154300
716303565340
oct4024702574
91353457800
10542344572
11259159560
12131768990
138848cb63
1452059620
153292ea4c
hex2053857c

542344572 has 120 divisors (see below), whose sum is σ = 1767722880. Its totient is φ = 140862240.

The previous prime is 542344567. The next prime is 542344589. The reversal of 542344572 is 275443245.

542344572 is a `hidden beast` number, since 5 + 42 + 3 + 44 + 572 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14079 + ... + 35817.

It is an arithmetic number, because the mean of its divisors is an integer number (14731024).

Almost surely, 2542344572 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 542344572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883861440).

542344572 is an abundant number, since it is smaller than the sum of its proper divisors (1225378308).

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

542344572 is a wasteful number, since it uses less digits than its factorization.

542344572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21773 (or 21762 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 542344572 is about 23288.2925952076. The cubic root of 542344572 is about 815.5021292515.

The spelling of 542344572 in words is "five hundred forty-two million, three hundred forty-four thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 6237 8316 12474 21739 24948 43478 65217 86956 130434 152173 195651 239129 260868 304346 391302 456519 478258 586953 608692 717387 782604 913038 956516 1173906 1369557 1434774 1673903 1760859 1826076 2152161 2347812 2739114 2869548 3347806 3521718 4108671 4304322 5021709 5478228 6456483 6695612 7043436 8217342 8608644 10043418 12326013 12912966 15065127 16434684 19369449 20086836 24652026 25825932 30130254 38738898 45195381 49304052 60260508 77477796 90390762 135586143 180781524 271172286 542344572