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542122668 = 2232193137691
BaseRepresentation
bin100000010100000…
…010001010101100
31101210002200111100
4200110002022230
52102240411133
6125443323100
716301652363
oct4024021254
91353080440
10542122668
1125901786a
12131680490
1388412b59
1451ddc7da
15328d8e13
hex205022ac

542122668 has 144 divisors (see below), whose sum is σ = 1531479040. Its totient is φ = 160963200.

The previous prime is 542122667. The next prime is 542122709. The reversal of 542122668 is 866221245.

It is a happy number.

542122668 is a `hidden beast` number, since 5 + 421 + 226 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (542122667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784203 + ... + 784893.

Almost surely, 2542122668 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 542122668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765739520).

542122668 is an abundant number, since it is smaller than the sum of its proper divisors (989356372).

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

542122668 is a wasteful number, since it uses less digits than its factorization.

542122668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 783 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 542122668 is about 23283.5278254821. The cubic root of 542122668 is about 815.3908913164.

The spelling of 542122668 in words is "five hundred forty-two million, one hundred twenty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 37 38 57 62 74 76 93 111 114 124 148 171 186 222 228 279 333 342 372 444 558 589 666 684 691 703 1116 1147 1178 1332 1382 1406 1767 2073 2109 2294 2356 2764 2812 3441 3534 4146 4218 4588 5301 6219 6327 6882 7068 8292 8436 10323 10602 12438 12654 13129 13764 20646 21204 21421 21793 24876 25308 25567 26258 39387 41292 42842 43586 51134 52516 64263 65379 76701 78774 85684 87172 102268 118161 128526 130758 153402 157548 192789 196137 230103 236322 257052 261516 306804 385578 392274 406999 460206 472644 485773 771156 784548 792577 813998 920412 971546 1220997 1457319 1585154 1627996 1943092 2377731 2441994 2914638 3170308 3662991 4371957 4755462 4883988 5829276 7133193 7325982 8743914 9510924 14266386 14651964 15058963 17487828 28532772 30117926 45176889 60235852 90353778 135530667 180707556 271061334 542122668