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46385664 = 2931323101
BaseRepresentation
bin1011000011110…
…0101000000000
310020021122011120
42300330220000
543333320124
64334112240
71102162113
oct260745000
9106248146
1046385664
1124202266
121364b680
1397c1250
14623657a
154113d79
hex2c3ca00

46385664 has 160 divisors (see below), whose sum is σ = 140241024. Its totient is φ = 13516800.

The previous prime is 46385657. The next prime is 46385671. The reversal of 46385664 is 46658364.

It is an interprime number because it is at equal distance from previous prime (46385657) and next prime (46385671).

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, 459214 + ... + 459314.

Almost surely, 246385664 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 46385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70120512).

46385664 is an abundant number, since it is smaller than the sum of its proper divisors (93855360).

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

46385664 is a wasteful number, since it uses less digits than its factorization.

46385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 46385664 is about 6810.7021664436. The cubic root of 46385664 is about 359.3033440903.

The spelling of 46385664 in words is "forty-six million, three hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 101 104 128 138 156 184 192 202 208 256 276 299 303 312 368 384 404 416 512 552 598 606 624 736 768 808 832 897 1104 1196 1212 1248 1313 1472 1536 1616 1664 1794 2208 2323 2392 2424 2496 2626 2944 3232 3328 3588 3939 4416 4646 4784 4848 4992 5252 5888 6464 6656 6969 7176 7878 8832 9292 9568 9696 9984 10504 11776 12928 13938 14352 15756 17664 18584 19136 19392 19968 21008 25856 27876 28704 30199 31512 35328 37168 38272 38784 42016 51712 55752 57408 60398 63024 74336 76544 77568 84032 90597 111504 114816 120796 126048 148672 153088 155136 168064 181194 223008 229632 241592 252096 297344 336128 362388 446016 459264 483184 504192 594688 672256 724776 892032 966368 1008384 1189376 1449552 1784064 1932736 2016768 2899104 3568128 3865472 5798208 7730944 11596416 15461888 23192832 46385664