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42800464 = 2471920113
BaseRepresentation
bin1010001101000…
…1010101010000
32222112111012101
42203101111100
541424103324
64125210144
71026540460
oct243212520
988474171
1042800464
1122183693
1212400954
138b37425
145981ba0
153b56944
hex28d1550

42800464 has 40 divisors (see below), whose sum is σ = 99765440. Its totient is φ = 17376768.

The previous prime is 42800449. The next prime is 42800473. The reversal of 42800464 is 46400824.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7929 + ... + 12184.

It is an arithmetic number, because the mean of its divisors is an integer number (2494136).

Almost surely, 242800464 is an apocalyptic number.

It is an amenable number.

42800464 is an abundant number, since it is smaller than the sum of its proper divisors (56964976).

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

42800464 is a wasteful number, since it uses less digits than its factorization.

42800464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20147 (or 20141 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 42800464 is about 6542.2063556571. The cubic root of 42800464 is about 349.7970633085.

It can be divided in two parts, 42800 and 464, that added together give a square (43264 = 2082).

The spelling of 42800464 in words is "forty-two million, eight hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 20113 40226 80452 140791 160904 281582 321808 382147 563164 764294 1126328 1528588 2252656 2675029 3057176 5350058 6114352 10700116 21400232 42800464