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661245500 = 225331371153
BaseRepresentation
bin100111011010011…
…100111000111100
31201002020202022002
4213122130320330
52323234324000
6145340441432
722246331306
oct4732347074
91632222262
10661245500
1130a28a593
12165549278
13a6cc0736
1463b6a976
153d0b98d5
hex2769ce3c

661245500 has 96 divisors (see below), whose sum is σ = 1532364288. Its totient is φ = 248832000.

The previous prime is 661245493. The next prime is 661245503. The reversal of 661245500 is 5542166.

It is a super-2 number, since 2×6612455002 = 874491222540500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661245503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572924 + ... + 574076.

It is an arithmetic number, because the mean of its divisors is an integer number (15962128).

Almost surely, 2661245500 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 661245500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766182144).

661245500 is an abundant number, since it is smaller than the sum of its proper divisors (871118788).

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

661245500 is a wasteful number, since it uses less digits than its factorization.

661245500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 661245500 is about 25714.6942427866. The cubic root of 661245500 is about 871.2061045094.

Adding to 661245500 its reverse (5542166), we get a palindrome (666787666).

The spelling of 661245500 in words is "six hundred sixty-one million, two hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 37 50 62 74 100 124 125 148 155 185 250 310 370 500 620 740 775 925 1147 1153 1550 1850 2294 2306 3100 3700 3875 4588 4612 4625 5735 5765 7750 9250 11470 11530 15500 18500 22940 23060 28675 28825 35743 42661 57350 57650 71486 85322 114700 115300 142972 143375 144125 170644 178715 213305 286750 288250 357430 426610 573500 576500 714860 853220 893575 1066525 1322491 1787150 2133050 2644982 3574300 4266100 4467875 5289964 5332625 6612455 8935750 10665250 13224910 17871500 21330500 26449820 33062275 66124550 132249100 165311375 330622750 661245500