Search a number
-
+
54394416 = 243419472
BaseRepresentation
bin1100111101111…
…1111000110000
310210100112010000
43033133320300
5102411110131
65221510000
71230226206
oct317377060
9123315100
1054394416
112878236a
1216272300
13b36665b
14731d076
154b96ce6
hex33dfe30

54394416 has 150 divisors (see below), whose sum is σ = 169320140. Its totient is φ = 16811712.

The previous prime is 54394411. The next prime is 54394433. The reversal of 54394416 is 61449345.

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

It is not an unprimeable number, because it can be changed into a prime (54394411) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1157305 + ... + 1157351.

Almost surely, 254394416 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 54394416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84660070).

54394416 is an abundant number, since it is smaller than the sum of its proper divisors (114925724).

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

54394416 is a wasteful number, since it uses less digits than its factorization.

54394416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 71 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 54394416 is about 7375.2570124708. The cubic root of 54394416 is about 378.8943298576.

The spelling of 54394416 in words is "fifty-four million, three hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 47 48 54 57 72 76 81 94 108 114 141 144 152 162 171 188 216 228 282 304 324 342 376 423 432 456 513 564 648 684 752 846 893 912 1026 1128 1269 1296 1368 1539 1692 1786 2052 2209 2256 2538 2679 2736 3078 3384 3572 3807 4104 4418 5076 5358 6156 6627 6768 7144 7614 8037 8208 8836 10152 10716 12312 13254 14288 15228 16074 17672 19881 20304 21432 24111 24624 26508 30456 32148 35344 39762 41971 42864 48222 53016 59643 60912 64296 72333 79524 83942 96444 106032 119286 125913 128592 144666 159048 167884 178929 192888 238572 251826 289332 318096 335768 357858 377739 385776 477144 503652 578664 671536 715716 755478 954288 1007304 1133217 1157328 1431432 1510956 2014608 2266434 2862864 3021912 3399651 4532868 6043824 6799302 9065736 13598604 18131472 27197208 54394416