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146271944 = 237131753223
BaseRepresentation
bin10001011011111…
…10111011001000
3101012020101101102
420231332323020
5244421200234
622303040532
73424201550
oct1055767310
9335211342
10146271944
1175626305
1240ba0148
13243c5060
14155d8160
15cc94c7e
hex8b7eec8

146271944 has 128 divisors (see below), whose sum is σ = 365783040. Its totient is φ = 53194752.

The previous prime is 146271941. The next prime is 146271947. The reversal of 146271944 is 449172641.

It is an interprime number because it is at equal distance from previous prime (146271941) and next prime (146271947).

It is a junction number, because it is equal to n+sod(n) for n = 146271898 and 146271907.

It is not an unprimeable number, because it can be changed into a prime (146271941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655817 + ... + 656039.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 2146271944 is an apocalyptic number.

146271944 is a gapful number since it is divisible by the number (14) 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 146271944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

146271944 is an abundant number, since it is smaller than the sum of its proper divisors (219511096).

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

146271944 is a wasteful number, since it uses less digits than its factorization.

146271944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 146271944 is about 12094.2938611562. The cubic root of 146271944 is about 526.8904712085.

The spelling of 146271944 in words is "one hundred forty-six million, two hundred seventy-one thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 53 56 68 91 104 106 119 136 182 212 221 223 238 364 371 424 442 446 476 689 728 742 884 892 901 952 1378 1484 1547 1561 1768 1784 1802 2756 2899 2968 3094 3122 3604 3791 4823 5512 5798 6188 6244 6307 7208 7582 9646 11596 11713 11819 12376 12488 12614 15164 19292 20293 23192 23426 23638 25228 26537 30328 38584 40586 46852 47276 49283 50456 53074 81172 81991 82733 93704 94552 98566 106148 153647 162344 163982 165466 197132 200923 212296 307294 327964 330932 344981 394264 401846 614588 655928 661864 689962 803692 1075529 1229176 1379924 1406461 1607384 2151058 2611999 2759848 2812922 4302116 5223998 5625844 8604232 10447996 11251688 18283993 20895992 36567986 73135972 146271944