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468013455 = 325721329563
BaseRepresentation
bin11011111001010…
…101000110001111
31012121122112202200
4123321111012033
51424302412310
6114235052543
714412022500
oct3371250617
91177575680
10468013455
112201aa488
121108a1153
1375c65b50
144622aba7
152b14a9c0
hex1be5518f

468013455 has 144 divisors (see below), whose sum is σ = 1053168480. Its totient is φ = 190342656.

The previous prime is 468013421. The next prime is 468013489. The reversal of 468013455 is 554310864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (468013421) and next prime (468013489).

It is not a de Polignac number, because 468013455 - 29 = 468012943 is a prime.

It is a super-2 number, since 2×4680134552 = 438073188122074050, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 831004 + ... + 831566.

It is an arithmetic number, because the mean of its divisors is an integer number (7313670).

Almost surely, 2468013455 is an apocalyptic number.

468013455 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

468013455 is an abundant number, since it is smaller than the sum of its proper divisors (585155025).

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

468013455 is a wasteful number, since it uses less digits than its factorization.

468013455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 468013455 is about 21633.6186293463. The cubic root of 468013455 is about 776.4010480331.

The spelling of 468013455 in words is "four hundred sixty-eight million, thirteen thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 13 15 21 29 35 39 45 49 63 65 87 91 105 117 145 147 195 203 245 261 273 315 377 435 441 455 563 585 609 637 735 819 1015 1131 1305 1365 1421 1689 1827 1885 1911 2205 2639 2815 3045 3185 3393 3941 4095 4263 5067 5655 5733 7105 7319 7917 8445 9135 9555 11823 12789 13195 16327 16965 18473 19705 21315 21957 23751 25335 27587 28665 35469 36595 39585 48981 51233 55419 59115 63945 65871 81635 82761 92365 109785 114289 118755 137935 146943 153699 166257 177345 212251 244905 248283 256165 277095 329355 342867 358631 413805 461097 571445 636753 734715 768495 800023 831285 1028601 1061255 1075893 1241415 1485757 1714335 1793155 1910259 2305485 2400069 3183765 3227679 4000115 4457271 5143005 5379465 7200207 7428785 9551295 10400299 12000345 13371813 16138395 22286355 31200897 36001035 52001495 66859065 93602691 156004485 468013455