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151451412 = 223723277283
BaseRepresentation
bin10010000011011…
…11011100010100
3101112222112021120
421001233130110
5302232421122
623010043540
73516213210
oct1101573424
9345875246
10151451412
1178543762
12428795b0
13254b9728
1416185940
15d46975c
hex906f714

151451412 has 96 divisors (see below), whose sum is σ = 424445952. Its totient is φ = 41095296.

The previous prime is 151451411. The next prime is 151451429. The reversal of 151451412 is 214154151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151451411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535023 + ... + 535305.

It is an arithmetic number, because the mean of its divisors is an integer number (4421312).

Almost surely, 2151451412 is an apocalyptic number.

151451412 is a gapful number since it is divisible by the number (12) 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 151451412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212222976).

151451412 is an abundant number, since it is smaller than the sum of its proper divisors (272994540).

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

151451412 is a wasteful number, since it uses less digits than its factorization.

151451412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 595 counting only the distinct ones).

The product of its digits is 800, while the sum is 24.

The square root of 151451412 is about 12306.5597142337. The cubic root of 151451412 is about 533.0375149449.

The spelling of 151451412 in words is "one hundred fifty-one million, four hundred fifty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 277 283 322 483 554 566 644 831 849 966 1108 1132 1662 1698 1932 1939 1981 3324 3396 3878 3962 5817 5943 6371 6509 7756 7924 11634 11886 12742 13018 19113 19527 23268 23772 25484 26036 38226 39054 44597 45563 76452 78108 78391 89194 91126 133791 136689 156782 178388 182252 235173 267582 273378 313564 470346 535164 546756 548737 940692 1097474 1646211 1802993 2194948 3292422 3605986 5408979 6584844 7211972 10817958 12620951 21635916 25241902 37862853 50483804 75725706 151451412