Search a number
-
+
73444728 = 23372192173
BaseRepresentation
bin1000110000010…
…10110101111000
312010012101020010
410120022311320
5122300212403
611142101520
71551161400
oct430126570
9163171203
1073444728
1138504125
122071a8a0
13122a6726
149a7b800
1566ab603
hex460ad78

73444728 has 144 divisors (see below), whose sum is σ = 226725480. Its totient is φ = 19764864.

The previous prime is 73444717. The next prime is 73444751. The reversal of 73444728 is 82744437.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 424450 + ... + 424622.

Almost surely, 273444728 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 73444728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113362740).

73444728 is an abundant number, since it is smaller than the sum of its proper divisors (153280752).

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

73444728 is a wasteful number, since it uses less digits than its factorization.

73444728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 204 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 73444728 is about 8569.9899649883. The cubic root of 73444728 is about 418.7809093394.

The spelling of 73444728 in words is "seventy-three million, four hundred forty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 173 196 228 266 294 346 361 392 399 456 519 532 588 692 722 798 931 1038 1064 1083 1176 1211 1384 1444 1596 1862 2076 2166 2422 2527 2793 2888 3192 3287 3633 3724 4152 4332 4844 5054 5586 6574 7266 7448 7581 8477 8664 9688 9861 10108 11172 13148 14532 15162 16954 17689 19722 20216 22344 23009 25431 26296 29064 30324 33908 35378 39444 46018 50862 53067 60648 62453 67816 69027 70756 78888 92036 101724 106134 124906 138054 141512 161063 184072 187359 203448 212268 249812 276108 322126 374718 424536 437171 483189 499624 552216 644252 749436 874342 966378 1288504 1311513 1498872 1748684 1932756 2623026 3060197 3497368 3865512 5246052 6120394 9180591 10492104 12240788 18361182 24481576 36722364 73444728