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95138442 = 23372331353
BaseRepresentation
bin1011010101110…
…11001010001010
320122000112102000
411222323022022
5143323412232
613235051430
72233443360
oct552731212
9218015360
1095138442
1149780a13
1227a40b76
1316930a49
14c8c7630
15854427c
hex5abb28a

95138442 has 128 divisors (see below), whose sum is σ = 260997120. Its totient is φ = 25090560.

The previous prime is 95138441. The next prime is 95138513. The reversal of 95138442 is 24483159.

It is a junction number, because it is equal to n+sod(n) for n = 95138397 and 95138406.

It is not an unprimeable number, because it can be changed into a prime (95138441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269338 + ... + 269690.

It is an arithmetic number, because the mean of its divisors is an integer number (2039040).

Almost surely, 295138442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95138442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130498560).

95138442 is an abundant number, since it is smaller than the sum of its proper divisors (165858678).

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

95138442 is a wasteful number, since it uses less digits than its factorization.

95138442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 95138442 is about 9753.8936840628. The cubic root of 95138442 is about 456.5118041565.

It can be divided in two parts, 9513 and 8442, that added together give a triangular number (17955 = T189).

The spelling of 95138442 in words is "ninety-five million, one hundred thirty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 31 42 46 54 62 63 69 93 126 138 161 186 189 207 217 279 322 353 378 414 434 483 558 621 651 706 713 837 966 1059 1242 1302 1426 1449 1674 1953 2118 2139 2471 2898 3177 3906 4278 4347 4942 4991 5859 6354 6417 7413 8119 8694 9531 9982 10943 11718 12834 14826 14973 16238 19062 19251 21886 22239 24357 29946 32829 38502 44478 44919 48714 56833 65658 66717 73071 76601 89838 98487 113666 133434 134757 146142 153202 170499 196974 219213 229803 251689 269514 295461 340998 438426 459606 503378 511497 590922 689409 755067 1022994 1378818 1510134 1534491 1761823 2068227 2265201 3068982 3523646 4136454 4530402 5285469 6795603 10570938 13591206 15856407 31712814 47569221 95138442