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1472408064 = 2933432477
BaseRepresentation
bin101011111000011…
…0010101000000000
310210121121002011000
41113300302220000
511003414024224
6402034452000
751326155611
oct12760625000
93717532130
101472408064
11696154a76
12351134000
131a608139a
14dd79dc08
15893e90c9
hex57c32a00

1472408064 has 160 divisors (see below), whose sum is σ = 4461589440. Its totient is φ = 479195136.

The previous prime is 1472408053. The next prime is 1472408087. The reversal of 1472408064 is 4608042741.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593194 + ... + 595670.

It is an arithmetic number, because the mean of its divisors is an integer number (27884934).

Almost surely, 21472408064 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 1472408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230794720).

1472408064 is an abundant number, since it is smaller than the sum of its proper divisors (2989181376).

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

1472408064 is an equidigital number, since it uses as much as digits as its factorization.

1472408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1472408064 is about 38371.9697696118. The cubic root of 1472408064 is about 1137.6518981469.

The spelling of 1472408064 in words is "one billion, four hundred seventy-two million, four hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 256 258 288 344 384 387 432 512 516 576 688 768 774 864 1032 1152 1161 1376 1536 1548 1728 2064 2304 2322 2477 2752 3096 3456 4128 4608 4644 4954 5504 6192 6912 7431 8256 9288 9908 11008 12384 13824 14862 16512 18576 19816 22016 22293 24768 29724 33024 37152 39632 44586 49536 59448 66048 66879 74304 79264 89172 99072 106511 118896 133758 148608 158528 178344 198144 213022 237792 267516 297216 317056 319533 356688 426044 475584 535032 594432 634112 639066 713376 852088 951168 958599 1070064 1268224 1278132 1426752 1704176 1902336 1917198 2140128 2556264 2853504 2875797 3408352 3804672 3834396 4280256 5112528 5707008 5751594 6816704 7668792 8560512 10225056 11414016 11503188 13633408 15337584 17121024 20450112 23006376 27266816 30675168 34242048 40900224 46012752 54533632 61350336 81800448 92025504 122700672 163600896 184051008 245401344 368102016 490802688 736204032 1472408064