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469077040 = 245127137337
BaseRepresentation
bin11011111101011…
…000110000110000
31012200122120201201
4123331120300300
51430040431130
6114313540544
714424042355
oct3375306060
91180576651
10469077040
11220866583
12111114754
1376248ca3
144642662c
152b2aabca
hex1bf58c30

469077040 has 80 divisors (see below), whose sum is σ = 1110500352. Its totient is φ = 184246272.

The previous prime is 469077017. The next prime is 469077047. The reversal of 469077040 is 40770964.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (469077047) 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, 1391752 + ... + 1392088.

Almost surely, 2469077040 is an apocalyptic number.

469077040 is a gapful number since it is divisible by the number (40) 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 469077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555250176).

469077040 is an abundant number, since it is smaller than the sum of its proper divisors (641423312).

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

469077040 is a wasteful number, since it uses less digits than its factorization.

469077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 469077040 is about 21658.1864430058. The cubic root of 469077040 is about 776.9887403700.

The spelling of 469077040 in words is "four hundred sixty-nine million, seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 137 254 274 337 508 548 635 674 685 1016 1096 1270 1348 1370 1685 2032 2192 2540 2696 2740 3370 5080 5392 5480 6740 10160 10960 13480 17399 26960 34798 42799 46169 69596 85598 86995 92338 139192 171196 173990 184676 213995 230845 278384 342392 347980 369352 427990 461690 684784 695960 738704 855980 923380 1391920 1711960 1846760 3423920 3693520 5863463 11726926 23453852 29317315 46907704 58634630 93815408 117269260 234538520 469077040