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65472480 = 25325192393
BaseRepresentation
bin1111100111000…
…0011111100000
311120012100100200
43321300133200
5113230104410
610255145200
71423335603
oct371603740
9146170320
1065472480
1133a59497
1219b15200
1310744b18
1489a433a
155b343c0
hex3e707e0

65472480 has 144 divisors (see below), whose sum is σ = 235282320. Its totient is φ = 16533504.

The previous prime is 65472479. The next prime is 65472481. The reversal of 65472480 is 8427456.

It is an interprime number because it is at equal distance from previous prime (65472479) and next prime (65472481).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65472481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26164 + ... + 28556.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 265472480 is an apocalyptic number.

65472480 is a gapful number since it is divisible by the number (60) 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 65472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

65472480 is an abundant number, since it is smaller than the sum of its proper divisors (169809840).

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

65472480 is a wasteful number, since it uses less digits than its factorization.

65472480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 65472480 is about 8091.5066582189. The cubic root of 65472480 is about 403.0444363975.

The spelling of 65472480 in words is "sixty-five million, four hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2393 2736 3040 3420 4560 4786 5472 6840 7179 9120 9572 11965 13680 14358 19144 21537 23930 27360 28716 35895 38288 43074 45467 47860 57432 71790 76576 86148 90934 95720 107685 114864 136401 143580 172296 181868 191440 215370 227335 229728 272802 287160 344592 363736 382880 409203 430740 454670 545604 574320 682005 689184 727472 818406 861480 909340 1091208 1148640 1364010 1454944 1636812 1722960 1818680 2046015 2182416 2728020 3273624 3445920 3637360 4092030 4364832 5456040 6547248 7274720 8184060 10912080 13094496 16368120 21824160 32736240 65472480