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42834064 = 2471323173
BaseRepresentation
bin1010001101100…
…1100010010000
32222121012021211
42203121202100
541431142224
64130025504
71030040440
oct243314220
988535254
1042834064
11221a6959
1212418294
138b49800
145990120
153b61894
hex28d9890

42834064 has 120 divisors (see below), whose sum is σ = 107469312. Its totient is φ = 16174080.

The previous prime is 42834047. The next prime is 42834083. The reversal of 42834064 is 46043824.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586732 + ... + 586804.

Almost surely, 242834064 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 42834064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53734656).

42834064 is an abundant number, since it is smaller than the sum of its proper divisors (64635248).

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

42834064 is a wasteful number, since it uses less digits than its factorization.

42834064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 42834064 is about 6544.7737928824. The cubic root of 42834064 is about 349.8885740540. Note that the first 3 decimals are identical.

Adding to 42834064 its reverse (46043824), we get a palindrome (88877888).

The spelling of 42834064 in words is "forty-two million, eight hundred thirty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 73 91 104 112 124 146 169 182 208 217 248 292 338 364 403 434 496 511 584 676 728 806 868 949 1022 1168 1183 1352 1456 1612 1736 1898 2044 2263 2366 2704 2821 3224 3472 3796 4088 4526 4732 5239 5642 6448 6643 7592 8176 9052 9464 10478 11284 12337 13286 15184 15841 18104 18928 20956 22568 24674 26572 29419 31682 36208 36673 41912 45136 49348 53144 58838 63364 73346 83824 86359 98696 106288 117676 126728 146692 172718 197392 205933 235352 253456 293384 345436 382447 411866 470704 586768 690872 764894 823732 1381744 1529788 1647464 2677129 3059576 3294928 5354258 6119152 10708516 21417032 42834064