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55374000 = 2435311839
BaseRepresentation
bin1101001100111…
…1000010110000
310212012021211220
43103033002300
5103133432000
65254505040
71241446143
oct323170260
9125167756
1055374000
1129291340
1216665180
13b61a4a6
1474d605a
154cdc1a0
hex34cf0b0

55374000 has 160 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 13408000.

The previous prime is 55373977. The next prime is 55374001. The reversal of 55374000 is 47355.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (55374001) 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, 65581 + ... + 66419.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 255374000 is an apocalyptic number.

55374000 is a gapful number since it is divisible by the number (50) 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 55374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

55374000 is an abundant number, since it is smaller than the sum of its proper divisors (139613520).

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

55374000 is a wasteful number, since it uses less digits than its factorization.

55374000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 55374000 is about 7441.3708414512. The cubic root of 55374000 is about 381.1553021094.

The spelling of 55374000 in words is "fifty-five million, three hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 839 880 1000 1100 1200 1320 1375 1500 1650 1678 2000 2200 2517 2640 2750 3000 3300 3356 4125 4195 4400 5034 5500 6000 6600 6712 8250 8390 9229 10068 11000 12585 13200 13424 16500 16780 18458 20136 20975 22000 25170 27687 33000 33560 36916 40272 41950 46145 50340 55374 62925 66000 67120 73832 83900 92290 100680 104875 110748 125850 138435 147664 167800 184580 201360 209750 221496 230725 251700 276870 314625 335600 369160 419500 442992 461450 503400 553740 629250 692175 738320 839000 922900 1006800 1107480 1153625 1258500 1384350 1678000 1845800 2214960 2307250 2517000 2768700 3460875 3691600 4614500 5034000 5537400 6921750 9229000 11074800 13843500 18458000 27687000 55374000