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4572945408 = 21033121549
BaseRepresentation
bin1000100001001000…
…11001110000000000
3102210200210200210110
410100210121300000
533331133223113
62033434031320
7221215252233
oct42044316000
912720720713
104572945408
111a37343629
12a77578540
1357b536b75
1431549741a
151bb6ebbc3
hex110919c00

4572945408 has 132 divisors (see below), whose sum is σ = 12602560200. Its totient is φ = 1474191360.

The previous prime is 4572945407. The next prime is 4572945449. The reversal of 4572945408 is 8045492754.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4572945407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2951418 + ... + 2952966.

Almost surely, 24572945408 is an apocalyptic number.

4572945408 is a gapful number since it is divisible by the number (48) 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 4572945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301280100).

4572945408 is an abundant number, since it is smaller than the sum of its proper divisors (8029614792).

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

4572945408 is a wasteful number, since it uses less digits than its factorization.

4572945408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The square root of 4572945408 is about 67623.5566056681. The cubic root of 4572945408 is about 1659.8366084887.

The spelling of 4572945408 in words is "four billion, five hundred seventy-two million, nine hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 961 992 1024 1488 1536 1549 1922 1984 2883 2976 3072 3098 3844 3968 4647 5766 5952 6196 7688 7936 9294 11532 11904 12392 15376 15872 18588 23064 23808 24784 30752 31744 37176 46128 47616 48019 49568 61504 74352 92256 95232 96038 99136 123008 144057 148704 184512 192076 198272 246016 288114 297408 369024 384152 396544 492032 576228 594816 738048 768304 793088 984064 1152456 1189632 1476096 1488589 1536608 1586176 2304912 2379264 2952192 2977178 3073216 4465767 4609824 4758528 5954356 6146432 8931534 9219648 11908712 12292864 17863068 18439296 23817424 24585728 35726136 36878592 47634848 49171456 71452272 73757184 95269696 142904544 147514368 190539392 285809088 381078784 571618176 762157568 1143236352 1524315136 2286472704 4572945408