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52419120 = 24351353317
BaseRepresentation
bin1100011111110…
…1101000110000
310122122011111220
43013331220300
5101404402440
65111305040
71204361265
oct307755060
9118564456
1052419120
1127653296
121567b180
13ab24540
146d6726c
1549068d0
hex31fda30

52419120 has 160 divisors (see below), whose sum is σ = 178863552. Its totient is φ = 12619776.

The previous prime is 52419097. The next prime is 52419137. The reversal of 52419120 is 2191425.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 165202 + ... + 165518.

Almost surely, 252419120 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 52419120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89431776).

52419120 is an abundant number, since it is smaller than the sum of its proper divisors (126444432).

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

52419120 is a wasteful number, since it uses less digits than its factorization.

52419120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 52419120 is about 7240.1049716147. The cubic root of 52419120 is about 374.2512348192.

The spelling of 52419120 in words is "fifty-two million, four hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 53 60 65 78 80 104 106 120 130 156 159 195 208 212 240 260 265 312 317 318 390 424 520 530 624 634 636 689 780 795 848 951 1040 1060 1268 1272 1378 1560 1585 1590 1902 2067 2120 2536 2544 2756 3120 3170 3180 3445 3804 4121 4134 4240 4755 5072 5512 6340 6360 6890 7608 8242 8268 9510 10335 11024 12363 12680 12720 13780 15216 16484 16536 16801 19020 20605 20670 24726 25360 27560 32968 33072 33602 38040 41210 41340 49452 50403 55120 61815 65936 67204 76080 82420 82680 84005 98904 100806 123630 134408 164840 165360 168010 197808 201612 218413 247260 252015 268816 329680 336020 403224 436826 494520 504030 655239 672040 806448 873652 989040 1008060 1092065 1310478 1344080 1747304 2016120 2184130 2620956 3276195 3494608 4032240 4368260 5241912 6552390 8736520 10483824 13104780 17473040 26209560 52419120