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46530240 = 2635192551
BaseRepresentation
bin1011000101111…
…1111011000000
310020112222111020
42301133323000
543402431430
64341145440
71103333451
oct261377300
9106488436
1046530240
11242a0949
12136bb280
139841cb3
146273128
154141b10
hex2c5fec0

46530240 has 112 divisors (see below), whose sum is σ = 155569920. Its totient is φ = 11750400.

The previous prime is 46530229. The next prime is 46530293. The reversal of 46530240 is 4203564.

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 46530240.

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, 16965 + ... + 19515.

Almost surely, 246530240 is an apocalyptic number.

46530240 is a gapful number since it is divisible by the number (40) 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 46530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77784960).

46530240 is an abundant number, since it is smaller than the sum of its proper divisors (109039680).

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

46530240 is a wasteful number, since it uses less digits than its factorization.

46530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2580 counting only the distinct ones).

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

The square root of 46530240 is about 6821.3077924984. The cubic root of 46530240 is about 359.6762521508.

The spelling of 46530240 in words is "forty-six million, five hundred thirty 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 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 2551 3040 3648 4560 5102 6080 7653 9120 10204 12755 15306 18240 20408 25510 30612 38265 40816 48469 51020 61224 76530 81632 96938 102040 122448 145407 153060 163264 193876 204080 242345 244896 290814 306120 387752 408160 484690 489792 581628 612240 727035 775504 816320 969380 1163256 1224480 1454070 1551008 1938760 2326512 2448960 2908140 3102016 3877520 4653024 5816280 7755040 9306048 11632560 15510080 23265120 46530240