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124242444 = 223319191317
BaseRepresentation
bin1110110011111…
…00101000001100
322122210011121000
413121330220030
5223301224234
620154540300
73036020604
oct731745014
9278704530
10124242444
116414a207
1235737690
131c980c51
1412701c04
15ad92899
hex767ca0c

124242444 has 96 divisors (see below), whose sum is σ = 341913600. Its totient is φ = 38905920.

The previous prime is 124242439. The next prime is 124242457. The reversal of 124242444 is 444242421.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391774 + ... + 392090.

It is an arithmetic number, because the mean of its divisors is an integer number (3561600).

Almost surely, 2124242444 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 124242444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170956800).

124242444 is an abundant number, since it is smaller than the sum of its proper divisors (217671156).

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

124242444 is a wasteful number, since it uses less digits than its factorization.

124242444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 124242444 is about 11146.4094667296. The cubic root of 124242444 is about 498.9878779336.

Adding to 124242444 its reverse (444242421), we get a palindrome (568484865).

The spelling of 124242444 in words is "one hundred twenty-four million, two hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 191 228 317 342 382 513 573 634 684 764 951 1026 1146 1268 1719 1902 2052 2292 2853 3438 3629 3804 5157 5706 6023 6876 7258 8559 10314 10887 11412 12046 14516 17118 18069 20628 21774 24092 32661 34236 36138 43548 54207 60547 65322 72276 97983 108414 121094 130644 162621 181641 195966 216828 242188 325242 363282 391932 544923 650484 726564 1089846 1150393 1634769 2179692 2300786 3269538 3451179 4601572 6539076 6902358 10353537 13804716 20707074 31060611 41414148 62121222 124242444