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51538740 = 223511231229
BaseRepresentation
bin1100010010011…
…0101100110100
310120222102212020
43010212230310
5101143214430
65040353140
71164033501
oct304465464
9116872766
1051538740
1127101900
12153157b0
13a8a68c6
146bb84a8
1547d0b10
hex3126b34

51538740 has 144 divisors (see below), whose sum is σ = 164451840. Its totient is φ = 12038400.

The previous prime is 51538727. The next prime is 51538741. The reversal of 51538740 is 4783515.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51538741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224946 + ... + 225174.

Almost surely, 251538740 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 51538740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82225920).

51538740 is an abundant number, since it is smaller than the sum of its proper divisors (112913100).

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

51538740 is a wasteful number, since it uses less digits than its factorization.

51538740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 51538740 is about 7179.0486834956. The cubic root of 51538740 is about 372.1442093216.

The spelling of 51538740 in words is "fifty-one million, five hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 121 124 132 155 165 186 220 229 242 310 330 341 363 372 458 465 484 605 620 660 682 687 726 916 930 1023 1145 1210 1364 1374 1452 1705 1815 1860 2046 2290 2420 2519 2748 3410 3435 3630 3751 4092 4580 5038 5115 6820 6870 7099 7260 7502 7557 10076 10230 11253 12595 13740 14198 15004 15114 18755 20460 21297 22506 25190 27709 28396 30228 35495 37510 37785 42594 45012 50380 55418 56265 70990 75020 75570 78089 83127 85188 106485 110836 112530 138545 141980 151140 156178 166254 212970 225060 234267 277090 312356 332508 390445 415635 425940 468534 554180 780890 831270 858979 937068 1171335 1561780 1662540 1717958 2342670 2576937 3435916 4294895 4685340 5153874 8589790 10307748 12884685 17179580 25769370 51538740