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57417990 = 2357793461
BaseRepresentation
bin1101101100001…
…0000100000110
311000001010200020
43123002010012
5104144333430
65410400010
71265021250
oct333020406
9130033606
1057417990
112a457a93
1217290006
13bb84956
1478a8cd0
155092b10
hex36c2106

57417990 has 64 divisors (see below), whose sum is σ = 159528960. Its totient is φ = 12954240.

The previous prime is 57417967. The next prime is 57417991. The reversal of 57417990 is 9971475.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57417991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14860 + ... + 18320.

It is an arithmetic number, because the mean of its divisors is an integer number (2492640).

Almost surely, 257417990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57417990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79764480).

57417990 is an abundant number, since it is smaller than the sum of its proper divisors (102110970).

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

57417990 is a wasteful number, since it uses less digits than its factorization.

57417990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557.

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 57417990 is about 7577.4659352583. The cubic root of 57417990 is about 385.7885451771.

It can be divided in two parts, 5741 and 7990, that added together give a palindrome (13731).

The spelling of 57417990 in words is "fifty-seven million, four hundred seventeen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 158 210 237 395 474 553 790 1106 1185 1659 2370 2765 3318 3461 5530 6922 8295 10383 16590 17305 20766 24227 34610 48454 51915 72681 103830 121135 145362 242270 273419 363405 546838 726810 820257 1367095 1640514 1913933 2734190 3827866 4101285 5741799 8202570 9569665 11483598 19139330 28708995 57417990