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4806310992 = 2437174717903
BaseRepresentation
bin1000111100111101…
…00111110001010000
3110101221220220012020
410132132213301100
534320403422432
62112531531440
7230050653330
oct43636476120
913357826166
104806310992
11204704564a
12b21759b80
135b79a4002
143384830c0
151d1e4722c
hex11e7a7c50

4806310992 has 160 divisors (see below), whose sum is σ = 15345303552. Its totient is φ = 1264883712.

The previous prime is 4806310981. The next prime is 4806311023. The reversal of 4806310992 is 2990136084.

It is a super-3 number, since 3×48063109923 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259513 + ... + 277415.

Almost surely, 24806310992 is an apocalyptic number.

4806310992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4806310992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672651776).

4806310992 is an abundant number, since it is smaller than the sum of its proper divisors (10538992560).

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

4806310992 is a wasteful number, since it uses less digits than its factorization.

4806310992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17985 (or 17979 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 4806310992 is about 69327.5630034693. The cubic root of 4806310992 is about 1687.6042980584.

The spelling of 4806310992 in words is "four billion, eight hundred six million, three hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 47 48 51 56 68 84 94 102 112 119 136 141 168 188 204 238 272 282 329 336 357 376 408 476 564 658 714 752 799 816 952 987 1128 1316 1428 1598 1904 1974 2256 2397 2632 2856 3196 3948 4794 5264 5593 5712 6392 7896 9588 11186 12784 15792 16779 17903 19176 22372 33558 35806 38352 44744 53709 67116 71612 89488 107418 125321 134232 143224 214836 250642 268464 286448 304351 375963 429672 501284 608702 751926 841441 859344 913053 1002568 1217404 1503852 1682882 1826106 2005136 2130457 2434808 2524323 3007704 3365764 3652212 4260914 4869616 5048646 5890087 6015408 6391371 6731528 7304424 8521828 10097292 11780174 12782742 13463056 14304497 14608848 17043656 17670261 20194584 23560348 25565484 28608994 34087312 35340522 40389168 42913491 47120696 51130968 57217988 70681044 85826982 94241392 100131479 102261936 114435976 141362088 171653964 200262958 228871952 282724176 300394437 343307928 400525916 600788874 686615856 801051832 1201577748 1602103664 2403155496 4806310992