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492046464 = 27371314081
BaseRepresentation
bin11101010101000…
…000100010000000
31021021212112212010
4131111000202000
52001430441324
6120454132520
715123216540
oct3525004200
91237775763
10492046464
11232824878
12118951140
137ac2bb70
14494c5320
152d2e6829
hex1d540880

492046464 has 128 divisors (see below), whose sum is σ = 1608727680. Its totient is φ = 129761280.

The previous prime is 492046441. The next prime is 492046469. The reversal of 492046464 is 464640294.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492046469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27904 + ... + 41984.

It is an arithmetic number, because the mean of its divisors is an integer number (12568185).

Almost surely, 2492046464 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 492046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804363840).

492046464 is an abundant number, since it is smaller than the sum of its proper divisors (1116681216).

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

492046464 is a wasteful number, since it uses less digits than its factorization.

492046464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14118 (or 14106 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 492046464 is about 22182.1203675393. The cubic root of 492046464 is about 789.4695279762.

The spelling of 492046464 in words is "four hundred ninety-two million, forty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 14081 17472 28162 34944 42243 56324 84486 98567 112648 168972 183053 197134 225296 295701 337944 366106 394268 450592 549159 591402 675888 732212 788536 901184 1098318 1182804 1281371 1351776 1464424 1577072 1802368 2196636 2365608 2562742 2703552 2928848 3154144 3844113 4393272 4731216 5125484 5407104 5857696 6308288 7688226 8786544 9462432 10250968 11715392 12616576 15376452 17573088 18924864 20501936 23430784 30752904 35146176 37849728 41003872 61505808 70292352 82007744 123011616 164015488 246023232 492046464