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46968984 = 233537653
BaseRepresentation
bin1011001100101…
…1000010011000
310021101021100000
42303023002120
544011001414
64354413000
71110141546
oct263130230
9107337300
1046968984
1124570547
1213891160
1399668ca
146348d96
1541cbb09
hex2ccb098

46968984 has 96 divisors (see below), whose sum is σ = 135691920. Its totient is φ = 15209856.

The previous prime is 46968983. The next prime is 46968989. The reversal of 46968984 is 48986964.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46968984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46968983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71602 + ... + 72254.

Almost surely, 246968984 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 46968984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67845960).

46968984 is an abundant number, since it is smaller than the sum of its proper divisors (88722936).

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

46968984 is a wasteful number, since it uses less digits than its factorization.

46968984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 695 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 46968984 is about 6853.3921527956. The cubic root of 46968984 is about 360.8032066093.

The spelling of 46968984 in words is "forty-six million, nine hundred sixty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 653 666 888 972 999 1306 1332 1944 1959 1998 2612 2664 2997 3918 3996 5224 5877 5994 7836 7992 8991 11754 11988 15672 17631 17982 23508 23976 24161 35262 35964 47016 48322 52893 70524 71928 72483 96644 105786 141048 144966 158679 193288 211572 217449 289932 317358 423144 434898 579864 634716 652347 869796 1269432 1304694 1739592 1957041 2609388 3914082 5218776 5871123 7828164 11742246 15656328 23484492 46968984