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1964738484 = 2233178312893
BaseRepresentation
bin111010100011011…
…1000011110110100
312001221000001112000
41311012320132310
513010433112414
6522543055300
766455000352
oct16506703664
95057001460
101964738484
11919053115
12469ba1530
1325407c567
14148d1a7d2
15b7749b09
hex751b87b4

1964738484 has 96 divisors (see below), whose sum is σ = 5458803840. Its totient is φ = 608914944.

The previous prime is 1964738471. The next prime is 1964738507. The reversal of 1964738484 is 4848374691.

1964738484 is a `hidden beast` number, since 1 + 96 + 4 + 73 + 8 + 484 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1964738484.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145942 + ... + 158834.

It is an arithmetic number, because the mean of its divisors is an integer number (56862540).

Almost surely, 21964738484 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 1964738484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729401920).

1964738484 is an abundant number, since it is smaller than the sum of its proper divisors (3494065356).

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

1964738484 is a wasteful number, since it uses less digits than its factorization.

1964738484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13006 (or 12998 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 1964738484 is about 44325.3706583487. The cubic root of 1964738484 is about 1252.4726488344.

The spelling of 1964738484 in words is "one billion, nine hundred sixty-four million, seven hundred thirty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 83 102 108 153 166 204 249 306 332 459 498 612 747 918 996 1411 1494 1836 2241 2822 2988 4233 4482 5644 8466 8964 12699 12893 16932 25398 25786 38097 38679 50796 51572 76194 77358 116037 152388 154716 219181 232074 348111 438362 464148 657543 696222 876724 1070119 1315086 1392444 1972629 2140238 2630172 3210357 3945258 4280476 5917887 6420714 7890516 9631071 11835774 12841428 18192023 19262142 23671548 28893213 36384046 38524284 54576069 57786426 72768092 109152138 115572852 163728207 218304276 327456414 491184621 654912828 982369242 1964738484