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537377004 = 22351721913
BaseRepresentation
bin100000000001111…
…011100011101100
31101110011120200000
4200001323203230
52100032031004
6125153504300
716213425543
oct4001734354
91343146600
10537377004
1125637632a
1212bb72090
1387440a78
145152515a
153229cc39
hex2007b8ec

537377004 has 108 divisors (see below), whose sum is σ = 1497199704. Its totient is φ = 168500736.

The previous prime is 537376967. The next prime is 537377069. The reversal of 537377004 is 400773735.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 537377004.

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 35 ways as a sum of consecutive naturals, for example, 279952 + ... + 281864.

Almost surely, 2537377004 is an apocalyptic number.

537377004 is a gapful number since it is divisible by the number (54) 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 537377004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748599852).

537377004 is an abundant number, since it is smaller than the sum of its proper divisors (959822700).

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

537377004 is a wasteful number, since it uses less digits than its factorization.

537377004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 537377004 is about 23181.3934870189. The cubic root of 537377004 is about 813.0046431564.

The spelling of 537377004 in words is "five hundred thirty-seven million, three hundred seventy-seven thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 289 306 324 459 486 578 612 867 918 972 1156 1377 1734 1836 1913 2601 2754 3468 3826 4131 5202 5508 5739 7652 7803 8262 10404 11478 15606 16524 17217 22956 23409 31212 32521 34434 46818 51651 65042 68868 70227 93636 97563 103302 130084 140454 154953 195126 206604 280908 292689 309906 390252 464859 552857 585378 619812 878067 929718 1105714 1170756 1658571 1756134 1859436 2211428 2634201 3317142 3512268 4975713 5268402 6634284 7902603 9951426 10536804 14927139 15805206 19902852 29854278 31610412 44781417 59708556 89562834 134344251 179125668 268688502 537377004