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46749690 = 23351319701
BaseRepresentation
bin1011001001010…
…1011111111010
310020222010112000
42302111133322
543431442230
64350001430
71105236321
oct262253772
9106863460
1046749690
1124430809
12137a6276
1398bab50
1462cd0b8
154186b60
hex2c957fa

46749690 has 128 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 10886400.

The previous prime is 46749679. The next prime is 46749697. The reversal of 46749690 is 9694764.

It is a super-2 number, since 2×467496902 = 4371067030192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (46749697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66340 + ... + 67040.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 246749690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46749690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

46749690 is an abundant number, since it is smaller than the sum of its proper divisors (94773510).

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

46749690 is a wasteful number, since it uses less digits than its factorization.

46749690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 46749690 is about 6837.3744961059. The cubic root of 46749690 is about 360.2408111030.

The spelling of 46749690 in words is "forty-six million, seven hundred forty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 90 95 114 117 130 135 171 190 195 234 247 270 285 342 351 390 494 513 570 585 701 702 741 855 1026 1170 1235 1402 1482 1710 1755 2103 2223 2470 2565 3505 3510 3705 4206 4446 5130 6309 6669 7010 7410 9113 10515 11115 12618 13319 13338 18226 18927 21030 22230 26638 27339 31545 33345 37854 39957 45565 54678 63090 66595 66690 79914 82017 91130 94635 119871 133190 136695 164034 173147 189270 199785 239742 246051 273390 346294 359613 399570 410085 492102 519441 599355 719226 820170 865735 1038882 1198710 1230255 1558323 1731470 1798065 2460510 2597205 3116646 3596130 4674969 5194410 7791615 9349938 15583230 23374845 46749690