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542239040 = 2657673613
BaseRepresentation
bin100000010100011…
…110100101000000
31101210022121010102
4200110132211000
52102303122130
6125450021532
716302645560
oct4024364500
91353277112
10542239040
11259097242
121317178a8
1388453b05
145202cda0
153290d645
hex2051e940

542239040 has 112 divisors (see below), whose sum is σ = 1498104192. Its totient is φ = 183085056.

The previous prime is 542238989. The next prime is 542239067. The reversal of 542239040 is 40932245.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 542238994 and 542239012.

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, 148274 + ... + 151886.

Almost surely, 2542239040 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 542239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749052096).

542239040 is an abundant number, since it is smaller than the sum of its proper divisors (955865152).

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

542239040 is a wasteful number, since it uses less digits than its factorization.

542239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 542239040 is about 23286.0267113134. The cubic root of 542239040 is about 815.4492310525.

The spelling of 542239040 in words is "five hundred forty-two million, two hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 67 70 80 112 134 140 160 224 268 280 320 335 448 469 536 560 670 938 1072 1120 1340 1876 2144 2240 2345 2680 3613 3752 4288 4690 5360 7226 7504 9380 10720 14452 15008 18065 18760 21440 25291 28904 30016 36130 37520 50582 57808 72260 75040 101164 115616 126455 144520 150080 202328 231232 242071 252910 289040 404656 484142 505820 578080 809312 968284 1011640 1156160 1210355 1618624 1694497 1936568 2023280 2420710 3388994 3873136 4046560 4841420 6777988 7746272 8093120 8472485 9682840 13555976 15492544 16944970 19365680 27111952 33889940 38731360 54223904 67779880 77462720 108447808 135559760 271119520 542239040