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5331003984 = 24352395737
BaseRepresentation
bin1001111011100000…
…01010101001010000
3111202112020001200000
410331300022221100
541404214111414
62240553530000
7246051533445
oct47560125120
914675201600
105331003984
112296238219
121049413900
1366c5c3637
143880259cc
1521303bb09
hex13dc0aa50

5331003984 has 120 divisors (see below), whose sum is σ = 15539422080. Its totient is φ = 1769257728.

The previous prime is 5331003961. The next prime is 5331004013. The reversal of 5331003984 is 4893001335.

5331003984 is a `hidden beast` number, since 533 + 10 + 0 + 39 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926364 + ... + 932100.

It is an arithmetic number, because the mean of its divisors is an integer number (129495184).

Almost surely, 25331003984 is an apocalyptic number.

5331003984 is a gapful number since it is divisible by the number (54) 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 5331003984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769711040).

5331003984 is an abundant number, since it is smaller than the sum of its proper divisors (10208418096).

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

5331003984 is a wasteful number, since it uses less digits than its factorization.

5331003984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5999 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5331003984 is about 73013.7246276342. The cubic root of 5331003984 is about 1746.9065331737.

The spelling of 5331003984 in words is "five billion, three hundred thirty-one million, three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 239 243 324 432 478 486 648 717 956 972 1296 1434 1912 1944 2151 2868 3824 3888 4302 5736 5737 6453 8604 11472 11474 12906 17208 17211 19359 22948 25812 34416 34422 38718 45896 51624 51633 58077 68844 77436 91792 103248 103266 116154 137688 154872 154899 206532 232308 275376 309744 309798 413064 464616 464697 619596 826128 929232 929394 1239192 1371143 1394091 1858788 2478384 2742286 2788182 3717576 4113429 5484572 5576364 7435152 8226858 10969144 11152728 12340287 16453716 21938288 22305456 24680574 32907432 37020861 49361148 65814864 74041722 98722296 111062583 148083444 197444592 222125166 296166888 333187749 444250332 592333776 666375498 888500664 1332750996 1777001328 2665501992 5331003984