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44145972 = 22341347223
BaseRepresentation
bin1010100001100…
…1110100110100
310002001211220000
42220121310310
542300132342
64214111300
71044143313
oct250316464
9102054800
1044145972
1122a12582
121294b530
1391b89a0
145c1227a
153d2044c
hex2a19d34

44145972 has 120 divisors (see below), whose sum is σ = 127497216. Its totient is φ = 13234752.

The previous prime is 44145931. The next prime is 44145973. The reversal of 44145972 is 27954144.

It is a happy number.

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

Its product of digits (40320) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44145973) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197853 + ... + 198075.

Almost surely, 244145972 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 44145972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63748608).

44145972 is an abundant number, since it is smaller than the sum of its proper divisors (83351244).

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

44145972 is a wasteful number, since it uses less digits than its factorization.

44145972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 44145972 is about 6644.2435235322. The cubic root of 44145972 is about 353.4248056357.

The spelling of 44145972 in words is "forty-four million, one hundred forty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 81 94 108 117 141 156 162 188 223 234 282 324 351 423 446 468 564 611 669 702 846 892 1053 1222 1269 1338 1404 1692 1833 2007 2106 2444 2538 2676 2899 3666 3807 4014 4212 5076 5499 5798 6021 7332 7614 8028 8697 10481 10998 11596 12042 15228 16497 17394 18063 20962 21996 24084 26091 31443 32994 34788 36126 41924 49491 52182 62886 65988 72252 78273 94329 98982 104364 125772 136253 156546 188658 197964 234819 272506 282987 313092 377316 408759 469638 545012 565974 817518 848961 939276 1131948 1226277 1635036 1697922 2452554 3395844 3678831 4905108 7357662 11036493 14715324 22072986 44145972