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44970720 = 2535194931
BaseRepresentation
bin1010101110001…
…1001011100000
310010121202020020
42223203023200
543003030340
64243513440
71054146654
oct253431340
9103552206
1044970720
1123426193
1213088880
1394171c2
145d88a64
153e349d0
hex2ae32e0

44970720 has 96 divisors (see below), whose sum is σ = 149143680. Its totient is φ = 11358720.

The previous prime is 44970719. The next prime is 44970749. The reversal of 44970720 is 2707944.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6655 + ... + 11585.

It is an arithmetic number, because the mean of its divisors is an integer number (1553580).

Almost surely, 244970720 is an apocalyptic number.

44970720 is a gapful number since it is divisible by the number (40) 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 44970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74571840).

44970720 is an abundant number, since it is smaller than the sum of its proper divisors (104172960).

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

44970720 is a wasteful number, since it uses less digits than its factorization.

44970720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 44970720 is about 6706.0211750337. The cubic root of 44970720 is about 355.6121686474.

The spelling of 44970720 in words is "forty-four million, nine hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 4931 9120 9862 14793 19724 24655 29586 39448 49310 59172 73965 78896 93689 98620 118344 147930 157792 187378 197240 236688 281067 295860 374756 394480 468445 473376 562134 591720 749512 788960 936890 1124268 1183440 1405335 1499024 1873780 2248536 2366880 2810670 2998048 3747560 4497072 5621340 7495120 8994144 11242680 14990240 22485360 44970720