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68954292 = 2232113141137
BaseRepresentation
bin1000001110000…
…10100010110100
311210202020111200
410013002202310
5120123014132
610501532500
71465046631
oct407024264
9153666450
1068954292
1135a17420
121b114130
1311393874
14922d188
1560c0d7c
hex41c28b4

68954292 has 144 divisors (see below), whose sum is σ = 202535424. Its totient is φ = 19584000.

The previous prime is 68954231. The next prime is 68954317. The reversal of 68954292 is 29245986.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503248 + ... + 503384.

It is an arithmetic number, because the mean of its divisors is an integer number (1406496).

Almost surely, 268954292 is an apocalyptic number.

68954292 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68954292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101267712).

68954292 is an abundant number, since it is smaller than the sum of its proper divisors (133581132).

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

68954292 is a wasteful number, since it uses less digits than its factorization.

68954292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 68954292 is about 8303.8721088418. The cubic root of 68954292 is about 410.0660056334.

The spelling of 68954292 in words is "sixty-eight million, nine hundred fifty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 41 44 62 66 82 93 99 123 124 132 137 164 186 198 246 274 279 341 369 372 396 411 451 492 548 558 682 738 822 902 1023 1116 1233 1271 1353 1364 1476 1507 1644 1804 2046 2466 2542 2706 3014 3069 3813 4059 4092 4247 4521 4932 5084 5412 5617 6028 6138 7626 8118 8494 9042 11234 11439 12276 12741 13563 13981 15252 16236 16851 16988 18084 22468 22878 25482 27126 27962 33702 38223 41943 45756 46717 50553 50964 54252 55924 61787 67404 76446 83886 93434 101106 123574 125829 140151 152892 167772 174127 185361 186868 202212 247148 251658 280302 348254 370722 420453 503316 522381 556083 560604 696508 741444 840906 1044762 1112166 1567143 1681812 1915397 2089524 2224332 3134286 3830794 5746191 6268572 7661588 11492382 17238573 22984764 34477146 68954292