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575346640 = 245111738459
BaseRepresentation
bin100010010010110…
…001011111010000
31111002121122012211
4202102301133100
52134242043030
6133031401504
720154236311
oct4222613720
91432548184
10575346640
1127584a4a0
12140823294
13922763cb
14565aa608
153579d12a
hex224b17d0

575346640 has 80 divisors (see below), whose sum is σ = 1545168960. Its totient is φ = 196904960.

The previous prime is 575346637. The next prime is 575346643. The reversal of 575346640 is 46643575.

It is an interprime number because it is at equal distance from previous prime (575346637) and next prime (575346643).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 575346593 and 575346602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575346643) by changing a digit.

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, 4270 + ... + 34189.

It is an arithmetic number, because the mean of its divisors is an integer number (19314612).

Almost surely, 2575346640 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 575346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772584480).

575346640 is an abundant number, since it is smaller than the sum of its proper divisors (969822320).

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

575346640 is a wasteful number, since it uses less digits than its factorization.

575346640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38500 (or 38494 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The square root of 575346640 is about 23986.3844711953. The cubic root of 575346640 is about 831.7188167792.

The spelling of 575346640 in words is "five hundred seventy-five million, three hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 38459 76918 153836 192295 307672 384590 423049 615344 653803 769180 846098 1307606 1538360 1692196 2115245 2615212 3076720 3269015 3384392 4230490 5230424 6538030 6768784 7191833 8460980 10460848 13076060 14383666 16921960 26152120 28767332 33843920 35959165 52304240 57534664 71918330 115069328 143836660 287673320 575346640