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65470464 = 2163337
BaseRepresentation
bin1111100111000…
…0000000000000
311120012020121000
43321300000000
5113230023324
610255132000
71423326663
oct371600000
9146166530
1065470464
1133a57a24
1219b14000
1310743c27
1489a36da
155b339c9
hex3e70000

65470464 has 136 divisors (see below), whose sum is σ = 199227920. Its totient is φ = 21233664.

The previous prime is 65470453. The next prime is 65470469. The reversal of 65470464 is 46407456.

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 (65470469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1769454 + ... + 1769490.

Almost surely, 265470464 is an apocalyptic number.

65470464 is a gapful number since it is divisible by the number (64) 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 65470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99613960).

65470464 is an abundant number, since it is smaller than the sum of its proper divisors (133757456).

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

65470464 is an frugal number, since it uses more digits than its factorization.

65470464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 65470464 is about 8091.3820821909. The cubic root of 65470464 is about 403.0402995656.

The spelling of 65470464 in words is "sixty-five million, four hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 512 576 592 666 768 864 888 999 1024 1152 1184 1332 1536 1728 1776 1998 2048 2304 2368 2664 3072 3456 3552 3996 4096 4608 4736 5328 6144 6912 7104 7992 8192 9216 9472 10656 12288 13824 14208 15984 16384 18432 18944 21312 24576 27648 28416 31968 32768 36864 37888 42624 49152 55296 56832 63936 65536 73728 75776 85248 98304 110592 113664 127872 147456 151552 170496 196608 221184 227328 255744 294912 303104 340992 442368 454656 511488 589824 606208 681984 884736 909312 1022976 1212416 1363968 1769472 1818624 2045952 2424832 2727936 3637248 4091904 5455872 7274496 8183808 10911744 16367616 21823488 32735232 65470464