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95141248 = 2717231901
BaseRepresentation
bin1011010101110…
…11110110000000
320122000200020221
411222323312000
5143324004443
613235112424
72233454506
oct552736600
9218020227
1095141248
1149783034
1227a42714
13169320c7
14c8c8676
158544eed
hex5abbd80

95141248 has 64 divisors (see below), whose sum is σ = 209524320. Its totient is φ = 42803200.

The previous prime is 95141243. The next prime is 95141281. The reversal of 95141248 is 84214159.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95141243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49098 + ... + 50998.

Almost surely, 295141248 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 95141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104762160).

95141248 is an abundant number, since it is smaller than the sum of its proper divisors (114383072).

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

95141248 is a wasteful number, since it uses less digits than its factorization.

95141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1943 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 95141248 is about 9754.0375229953. The cubic root of 95141248 is about 456.5162922109.

The spelling of 95141248 in words is "ninety-five million, one hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 272 368 391 544 736 782 1088 1472 1564 1901 2176 2944 3128 3802 6256 7604 12512 15208 25024 30416 32317 43723 50048 60832 64634 87446 121664 129268 174892 243328 258536 349784 517072 699568 743291 1034144 1399136 1486582 2068288 2798272 2973164 4136576 5596544 5946328 11892656 23785312 47570624 95141248