Search a number
-
+
95614974 = 232721331269
BaseRepresentation
bin1011011001011…
…11011111111110
320122220202002100
411230233133332
5143434134344
613253205530
72240466600
oct554573776
9218822070
1095614974
1149a76a44
12280308a6
1316a69910
14c9ad170
1585da569
hex5b2f7fe

95614974 has 144 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 24312960.

The previous prime is 95614951. The next prime is 95614997. The reversal of 95614974 is 47941659.

It is an interprime number because it is at equal distance from previous prime (95614951) and next prime (95614997).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355312 + ... + 355580.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 295614974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95614974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

95614974 is an abundant number, since it is smaller than the sum of its proper divisors (173279106).

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

95614974 is a wasteful number, since it uses less digits than its factorization.

95614974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 95614974 is about 9778.2909549675. The cubic root of 95614974 is about 457.2727313377.

It can be divided in two parts, 9561 and 4974, that added together give a triangular number (14535 = T170).

The spelling of 95614974 in words is "ninety-five million, six hundred fourteen thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 49 62 63 78 91 93 98 117 126 147 182 186 217 234 269 273 279 294 403 434 441 538 546 558 637 651 806 807 819 882 1209 1274 1302 1519 1614 1638 1883 1911 1953 2418 2421 2821 3038 3497 3627 3766 3822 3906 4557 4842 5642 5649 5733 6994 7254 8339 8463 9114 10491 11298 11466 13181 13671 16678 16926 16947 19747 20982 24479 25017 25389 26362 27342 31473 33894 39494 39543 48958 50034 50778 58373 59241 62946 73437 75051 79086 108407 116746 118482 118629 146874 150102 171353 175119 177723 216814 220311 237258 325221 342706 350238 355446 408611 440622 514059 525357 650442 758849 817222 975663 1028118 1050714 1225833 1517698 1542177 1951326 2276547 2451666 3084354 3677499 4553094 5311943 6829641 7354998 10623886 13659282 15935829 31871658 47807487 95614974