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4835049984 = 29328091297
BaseRepresentation
bin1001000000011000…
…10000001000000000
3110110221222222200100
410200030100020000
534400233044414
62115435522400
7230550150432
oct44014201000
913427888610
104835049984
112061294686
12b2b2b9400
135c092702b
1433c204652
151d4722609
hex120310200

4835049984 has 120 divisors (see below), whose sum is σ = 13982302620. Its totient is φ = 1608450048.

The previous prime is 4835049979. The next prime is 4835050057. The reversal of 4835049984 is 4899405384.

4835049984 is a `hidden beast` number, since 48 + 3 + 504 + 9 + 98 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3378864384 + 1456185600 = 58128^2 + 38160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4835049984.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3727224 + ... + 3728520.

Almost surely, 24835049984 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 4835049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991151310).

4835049984 is an abundant number, since it is smaller than the sum of its proper divisors (9147252636).

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

4835049984 is a wasteful number, since it uses less digits than its factorization.

4835049984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 4835049984 is about 69534.5236842822. The cubic root of 4835049984 is about 1690.9612523372.

The spelling of 4835049984 in words is "four billion, eight hundred thirty-five million, forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 809 1152 1297 1536 1618 2304 2427 2594 3236 3891 4608 4854 5188 6472 7281 7782 9708 10376 11673 12944 14562 15564 19416 20752 23346 25888 29124 31128 38832 41504 46692 51776 58248 62256 77664 83008 93384 103552 116496 124512 155328 166016 186768 207104 232992 249024 310656 332032 373536 414208 465984 498048 621312 664064 747072 931968 996096 1049273 1242624 1494144 1863936 1992192 2098546 2988288 3147819 3727872 4197092 5976576 6295638 8394184 9443457 12591276 16788368 18886914 25182552 33576736 37773828 50365104 67153472 75547656 100730208 134306944 151095312 201460416 268613888 302190624 402920832 537227776 604381248 805841664 1208762496 1611683328 2417524992 4835049984