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4577897104 = 2411711093361
BaseRepresentation
bin1000100001101110…
…10010101010010000
3102211001010021020121
410100313102222100
533333420201404
62034132120024
7221305324534
oct42067225220
912731107217
104577897104
111a3a115940
12a79166014
1357c57b971
14315dc5bc4
151bbd78e54
hex110dd2a90

4577897104 has 80 divisors (see below), whose sum is σ = 9905258880. Its totient is φ = 2032128000.

The previous prime is 4577897099. The next prime is 4577897117. The reversal of 4577897104 is 4017987754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360384 + ... + 1363744.

It is an arithmetic number, because the mean of its divisors is an integer number (123815736).

Almost surely, 24577897104 is an apocalyptic number.

4577897104 is a gapful number since it is divisible by the number (44) 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 4577897104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952629440).

4577897104 is an abundant number, since it is smaller than the sum of its proper divisors (5327361776).

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

4577897104 is a wasteful number, since it uses less digits than its factorization.

4577897104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 52.

The square root of 4577897104 is about 67660.1589120215. The cubic root of 4577897104 is about 1660.4354961323.

The spelling of 4577897104 in words is "four billion, five hundred seventy-seven million, eight hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 71 88 109 142 176 218 284 436 568 781 872 1136 1199 1562 1744 2398 3124 3361 4796 6248 6722 7739 9592 12496 13444 15478 19184 26888 30956 36971 53776 61912 73942 85129 123824 147884 170258 238631 295768 340516 366349 477262 591536 681032 732698 954524 1362064 1465396 1909048 2624941 2930792 3818096 4029839 5249882 5861584 8059678 10499764 16119356 20999528 26010779 32238712 41999056 52021558 64477424 104043116 208086232 286118569 416172464 572237138 1144474276 2288948552 4577897104