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50634240 = 293519347
BaseRepresentation
bin1100000100100…
…1111000000000
310112021111010020
43001021320000
5100430243430
65005133440
71153245456
oct301117000
9115244106
1050634240
1126644288
1214b5a280
13a64acb7
146a209d6
1546a2b10
hex3049e00

50634240 has 160 divisors (see below), whose sum is σ = 170881920. Its totient is φ = 12754944.

The previous prime is 50634217. The next prime is 50634257. The reversal of 50634240 is 4243605.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a self number, because there is not a number n which added to its sum of digits gives 50634240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145747 + ... + 146093.

It is an arithmetic number, because the mean of its divisors is an integer number (1068012).

Almost surely, 250634240 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 50634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85440960).

50634240 is an abundant number, since it is smaller than the sum of its proper divisors (120247680).

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

50634240 is a wasteful number, since it uses less digits than its factorization.

50634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 50634240 is about 7115.7740267662. The cubic root of 50634240 is about 369.9543162491.

Adding to 50634240 its reverse (4243605), we get a palindrome (54877845).

The spelling of 50634240 in words is "fifty million, six hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 347 380 384 456 480 512 570 608 640 694 760 768 912 960 1041 1140 1216 1280 1388 1520 1536 1735 1824 1920 2082 2280 2432 2560 2776 3040 3470 3648 3840 4164 4560 4864 5205 5552 6080 6593 6940 7296 7680 8328 9120 9728 10410 11104 12160 13186 13880 14592 16656 18240 19779 20820 22208 24320 26372 27760 29184 32965 33312 36480 39558 41640 44416 48640 52744 55520 65930 66624 72960 79116 83280 88832 98895 105488 111040 131860 133248 145920 158232 166560 177664 197790 210976 222080 263720 266496 316464 333120 395580 421952 444160 527440 532992 632928 666240 791160 843904 888320 1054880 1265856 1332480 1582320 1687808 2109760 2531712 2664960 3164640 3375616 4219520 5063424 6329280 8439040 10126848 12658560 16878080 25317120 50634240