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44129960 = 23571773127
BaseRepresentation
bin1010100001010…
…1111010101000
310002001000220222
42220111322220
542244124320
64213505212
71044045530
oct250257250
9102030828
1044129960
1122a01546
1212942208
1391b1604
145c0a4c0
153d1a825
hex2a15ea8

44129960 has 128 divisors (see below), whose sum is σ = 122757120. Its totient is φ = 13934592.

The previous prime is 44129959. The next prime is 44129971. The reversal of 44129960 is 6992144.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 44129960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347417 + ... + 347543.

It is an arithmetic number, because the mean of its divisors is an integer number (959040).

Almost surely, 244129960 is an apocalyptic number.

44129960 is a gapful number since it is divisible by the number (40) 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 44129960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61378560).

44129960 is an abundant number, since it is smaller than the sum of its proper divisors (78627160).

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

44129960 is a wasteful number, since it uses less digits than its factorization.

44129960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 44129960 is about 6643.0384614271. The cubic root of 44129960 is about 353.3820707265.

The spelling of 44129960 in words is "forty-four million, one hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 73 85 119 127 136 140 146 170 238 254 280 292 340 365 476 508 511 584 595 635 680 730 889 952 1016 1022 1190 1241 1270 1460 1778 2044 2159 2380 2482 2540 2555 2920 3556 4088 4318 4445 4760 4964 5080 5110 6205 7112 8636 8687 8890 9271 9928 10220 10795 12410 15113 17272 17374 17780 18542 20440 21590 24820 30226 34748 35560 37084 43180 43435 46355 49640 60452 64897 69496 74168 75565 86360 86870 92710 120904 129794 151130 157607 173740 185420 259588 302260 315214 324485 347480 370840 519176 604520 630428 648970 788035 1103249 1260856 1297940 1576070 2206498 2595880 3152140 4412996 5516245 6304280 8825992 11032490 22064980 44129960