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5182073424 = 24321110333167
BaseRepresentation
bin1001101001110000…
…00010101001010000
3111101010222121100100
410310320002221100
541103102322144
62214113452400
7242262616533
oct46470025120
914333877310
105182073424
11221a166510
121007571100
136477aa448
14372338a1a
15204e1e269
hex134e02a50

5182073424 has 120 divisors (see below), whose sum is σ = 15841343232. Its totient is φ = 1568309760.

The previous prime is 5182073401. The next prime is 5182073473. The reversal of 5182073424 is 4243702815.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 1634689 + ... + 1637855.

Almost surely, 25182073424 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 5182073424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920671616).

5182073424 is an abundant number, since it is smaller than the sum of its proper divisors (10659269808).

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

5182073424 is a wasteful number, since it uses less digits than its factorization.

5182073424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5182073424 is about 71986.6197567298. The cubic root of 5182073424 is about 1730.4850593927.

The spelling of 5182073424 in words is "five billion, one hundred eighty-two million, seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1033 1584 2066 3099 3167 4132 6198 6334 8264 9297 9501 11363 12396 12668 16528 18594 19002 22726 24792 25336 28503 34089 34837 37188 38004 45452 49584 50672 57006 68178 69674 74376 76008 90904 102267 104511 114012 136356 139348 148752 152016 181808 204534 209022 228024 272712 278696 313533 409068 418044 456048 545424 557392 627066 818136 836088 1254132 1636272 1672176 2508264 3271511 5016528 6543022 9814533 13086044 19629066 26172088 29443599 35986621 39258132 52344176 58887198 71973242 78516264 107959863 117774396 143946484 157032528 215919726 235548792 287892968 323879589 431839452 471097584 575785936 647759178 863678904 1295518356 1727357808 2591036712 5182073424