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542124544 = 2913791031
BaseRepresentation
bin100000010100000…
…010101000000000
31101210002210001211
4200110002220000
52102240441134
6125443335504
716301661013
oct4024025000
91353083054
10542124544
11259019215
12131681594
1388413970
1451ddd37a
15328d9764
hex20502a00

542124544 has 80 divisors (see below), whose sum is σ = 1182424320. Its totient is φ = 246804480.

The previous prime is 542124529. The next prime is 542124553. The reversal of 542124544 is 445421245.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525309 + ... + 526339.

It is an arithmetic number, because the mean of its divisors is an integer number (14780304).

Almost surely, 2542124544 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 542124544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591212160).

542124544 is an abundant number, since it is smaller than the sum of its proper divisors (640299776).

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

542124544 is a wasteful number, since it uses less digits than its factorization.

542124544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1125 counting only the distinct ones).

The product of its digits is 25600, while the sum is 31.

The square root of 542124544 is about 23283.5681114386. The cubic root of 542124544 is about 815.3918318610.

Adding to 542124544 its reverse (445421245), we get a palindrome (987545789).

The spelling of 542124544 in words is "five hundred forty-two million, one hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 256 316 416 512 632 832 1027 1031 1264 1664 2054 2062 2528 3328 4108 4124 5056 6656 8216 8248 10112 13403 16432 16496 20224 26806 32864 32992 40448 53612 65728 65984 81449 107224 131456 131968 162898 214448 262912 263936 325796 428896 525824 527872 651592 857792 1058837 1303184 1715584 2117674 2606368 3431168 4235348 5212736 6862336 8470696 10425472 16941392 20850944 33882784 41701888 67765568 135531136 271062272 542124544