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49148484 = 223711431237
BaseRepresentation
bin1011101101111…
…1001001000100
310102111000001020
42323133021010
5100040222414
64513231140
71134520020
oct273371104
9112430036
1049148484
1125819a90
12145624b0
13a24a958
146755380
1544ac7a9
hex2edf244

49148484 has 96 divisors (see below), whose sum is σ = 146420736. Its totient is φ = 12458880.

The previous prime is 49148483. The next prime is 49148503. The reversal of 49148484 is 48484194.

49148484 = 562 + 572 + ... + 5282.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (49148483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39114 + ... + 40350.

It is an arithmetic number, because the mean of its divisors is an integer number (1525216).

Almost surely, 249148484 is an apocalyptic number.

49148484 is a gapful number since it is divisible by the number (44) 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 49148484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73210368).

49148484 is an abundant number, since it is smaller than the sum of its proper divisors (97272252).

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

49148484 is a wasteful number, since it uses less digits than its factorization.

49148484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1303 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 49148484 is about 7010.5979773483. The cubic root of 49148484 is about 366.2998230006.

The spelling of 49148484 in words is "forty-nine million, one hundred forty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 43 44 66 77 84 86 129 132 154 172 231 258 301 308 462 473 516 602 903 924 946 1204 1237 1419 1806 1892 2474 2838 3311 3612 3711 4948 5676 6622 7422 8659 9933 13244 13607 14844 17318 19866 25977 27214 34636 39732 40821 51954 53191 54428 81642 95249 103908 106382 159573 163284 190498 212764 285747 319146 372337 380996 571494 585101 638292 744674 1117011 1142988 1170202 1489348 1755303 2234022 2340404 3510606 4095707 4468044 7021212 8191414 12287121 16382828 24574242 49148484