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542353104 = 24333733931
BaseRepresentation
bin100000010100111…
…010011011010000
31101210112101121000
4200110322123100
52102320244404
6125452302000
716303632246
oct4024723320
91353471530
10542353104
11259164a07
12131771900
13884939c7
145205c796
1532932339
hex2053a6d0

542353104 has 80 divisors (see below), whose sum is σ = 1598875840. Its totient is φ = 175893120.

The previous prime is 542353073. The next prime is 542353111. The reversal of 542353104 is 401353245.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982 + ... + 32949.

It is an arithmetic number, because the mean of its divisors is an integer number (19985948).

Almost surely, 2542353104 is an apocalyptic number.

542353104 is a gapful number since it is divisible by the number (54) 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 542353104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799437920).

542353104 is an abundant number, since it is smaller than the sum of its proper divisors (1056522736).

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

542353104 is a wasteful number, since it uses less digits than its factorization.

542353104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33985 (or 33973 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 542353104 is about 23288.4757766583. The cubic root of 542353104 is about 815.5064056397.

The spelling of 542353104 in words is "five hundred forty-two million, three hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3996 5328 7992 15984 33931 67862 101793 135724 203586 271448 305379 407172 542896 610758 814344 916137 1221516 1255447 1628688 1832274 2443032 2510894 3664548 3766341 4886064 5021788 7329096 7532682 10043576 11299023 14658192 15065364 20087152 22598046 30130728 33897069 45196092 60261456 67794138 90392184 135588276 180784368 271176552 542353104