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95069440 = 285172257
BaseRepresentation
bin1011010101010…
…10010100000000
320121220000202101
411222222110000
5143314210230
613233400144
72233035244
oct552522400
9217800671
1095069440
1149734094
1227a09054
131690850b
14c8aa424
15852daca
hex5aaa500

95069440 has 108 divisors (see below), whose sum is σ = 242845596. Its totient is φ = 35651584.

The previous prime is 95069437. The next prime is 95069441. The reversal of 95069440 is 4496059.

It can be written as a sum of positive squares in 6 ways, for example, as 26378496 + 68690944 = 5136^2 + 8288^2 .

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 95069440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95069441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369792 + ... + 370048.

Almost surely, 295069440 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 95069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121422798).

95069440 is an abundant number, since it is smaller than the sum of its proper divisors (147776156).

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

95069440 is a wasteful number, since it uses less digits than its factorization.

95069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 95069440 is about 9750.3558909406. The cubic root of 95069440 is about 456.4014111845.

The spelling of 95069440 in words is "ninety-five million, sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 257 272 289 320 340 514 544 578 640 680 1028 1088 1156 1280 1285 1360 1445 2056 2176 2312 2570 2720 2890 4112 4352 4369 4624 5140 5440 5780 8224 8738 9248 10280 10880 11560 16448 17476 18496 20560 21760 21845 23120 32896 34952 36992 41120 43690 46240 65792 69904 73984 74273 82240 87380 92480 139808 148546 164480 174760 184960 279616 297092 328960 349520 369920 371365 559232 594184 699040 742730 1118464 1188368 1398080 1485460 2376736 2796160 2970920 4753472 5592320 5941840 9506944 11883680 19013888 23767360 47534720 95069440