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51306240 = 283531431
BaseRepresentation
bin1100001110110…
…1111100000000
310120112121221010
43003231330000
5101113244430
65031400520
71162044606
oct303557400
9116477833
1051306240
1126a63157
1215223140
13a824b2b
146b57876
154786cb0
hex30edf00

51306240 has 144 divisors (see below), whose sum is σ = 169537536. Its totient is φ = 13209600.

The previous prime is 51306239. The next prime is 51306247. The reversal of 51306240 is 4260315.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51306247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118825 + ... + 119255.

It is an arithmetic number, because the mean of its divisors is an integer number (1177344).

Almost surely, 251306240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84768768).

51306240 is an abundant number, since it is smaller than the sum of its proper divisors (118231296).

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

51306240 is a wasteful number, since it uses less digits than its factorization.

51306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 51306240 is about 7162.8374266069. The cubic root of 51306240 is about 371.5837638317.

Adding to 51306240 its reverse (4260315), we get a palindrome (55566555).

The spelling of 51306240 in words is "fifty-one million, three hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 431 465 480 496 620 640 744 768 862 930 960 992 1240 1280 1293 1488 1724 1860 1920 1984 2155 2480 2586 2976 3448 3720 3840 3968 4310 4960 5172 5952 6465 6896 7440 7936 8620 9920 10344 11904 12930 13361 13792 14880 17240 19840 20688 23808 25860 26722 27584 29760 34480 39680 40083 41376 51720 53444 55168 59520 66805 68960 80166 82752 103440 106888 110336 119040 133610 137920 160332 165504 200415 206880 213776 267220 275840 320664 331008 400830 413760 427552 534440 551680 641328 801660 827520 855104 1068880 1282656 1603320 1655040 1710208 2137760 2565312 3206640 3420416 4275520 5130624 6413280 8551040 10261248 12826560 17102080 25653120 51306240