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492424704 = 2933179199
BaseRepresentation
bin11101010110011…
…100111000000000
31021022120202201000
4131112130320000
52002030042304
6120510212000
715126353352
oct3526347000
91238522630
10492424704
11232a62a72
12118ab4000
137b032085
14495830d2
152d36d939
hex1d59ce00

492424704 has 160 divisors (see below), whose sum is σ = 1473120000. Its totient is φ = 162404352.

The previous prime is 492424697. The next prime is 492424711. The reversal of 492424704 is 407424294.

It is an interprime number because it is at equal distance from previous prime (492424697) and next prime (492424711).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2474397 + ... + 2474595.

It is an arithmetic number, because the mean of its divisors is an integer number (9207000).

Almost surely, 2492424704 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 492424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736560000).

492424704 is an abundant number, since it is smaller than the sum of its proper divisors (980695296).

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

492424704 is a wasteful number, since it uses less digits than its factorization.

492424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 492424704 is about 22190.6445152005. The cubic root of 492424704 is about 789.6717666498.

Adding to 492424704 its reverse (407424294), we get a palindrome (899848998).

The spelling of 492424704 in words is "four hundred ninety-two million, four hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 179 192 199 216 256 288 358 384 398 432 512 537 576 597 716 768 796 864 1074 1152 1194 1432 1536 1592 1611 1728 1791 2148 2304 2388 2864 3184 3222 3456 3582 4296 4608 4776 4833 5373 5728 6368 6444 6912 7164 8592 9552 9666 10746 11456 12736 12888 13824 14328 17184 19104 19332 21492 22912 25472 25776 28656 34368 35621 38208 38664 42984 45824 50944 51552 57312 68736 71242 76416 77328 85968 91648 101888 103104 106863 114624 137472 142484 152832 154656 171936 206208 213726 229248 274944 284968 305664 309312 320589 343872 412416 427452 458496 569936 618624 641178 687744 824832 854904 916992 961767 1139872 1237248 1282356 1375488 1709808 1923534 2279744 2474496 2564712 2750976 3419616 3847068 4559488 5129424 6839232 7694136 9118976 10258848 13678464 15388272 18237952 20517696 27356928 30776544 41035392 54713856 61553088 82070784 123106176 164141568 246212352 492424704