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2424427416 = 233331418831
BaseRepresentation
bin1001000010000001…
…1101001110011000
320020221222200012000
42100200131032120
514431123134131
61040323521000
7114036202335
oct22040351630
96227880160
102424427416
111034587224
12577b29160
132c838c348
1418ddbb98c
15e2c9dce6
hex9081d398

2424427416 has 128 divisors (see below), whose sum is σ = 7122124800. Its totient is φ = 762912000.

The previous prime is 2424427393. The next prime is 2424427451. The reversal of 2424427416 is 6147244242.

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

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, 270121 + ... + 278951.

It is an arithmetic number, because the mean of its divisors is an integer number (55641600).

Almost surely, 22424427416 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 2424427416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561062400).

2424427416 is an abundant number, since it is smaller than the sum of its proper divisors (4697697384).

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

2424427416 is a wasteful number, since it uses less digits than its factorization.

2424427416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8918 (or 8908 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 2424427416 is about 49238.4749560747. The cubic root of 2424427416 is about 1343.3929417251.

The spelling of 2424427416 in words is "two billion, four hundred twenty-four million, four hundred twenty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 41 54 62 72 82 93 108 123 124 164 186 216 246 248 279 328 369 372 492 558 738 744 837 984 1107 1116 1271 1476 1674 2214 2232 2542 2952 3348 3813 4428 5084 6696 7626 8831 8856 10168 11439 15252 17662 22878 26493 30504 34317 35324 45756 52986 68634 70648 79479 91512 105972 137268 158958 211944 238437 273761 274536 317916 362071 476874 547522 635832 724142 821283 953748 1086213 1095044 1448284 1642566 1907496 2172426 2190088 2463849 2896568 3258639 3285132 4344852 4927698 6517278 6570264 7391547 8689704 9775917 9855396 11224201 13034556 14783094 19551834 19710792 22448402 26069112 29566188 33672603 39103668 44896804 59132376 67345206 78207336 89793608 101017809 134690412 202035618 269380824 303053427 404071236 606106854 808142472 1212213708 2424427416